September 17, 2019
Circle - MCQ- Class 10 - by Dr Rajesh Kumar Thakur
An author with 60 books, 62 e- books; columnist with 700 article published in various newspaper and magazine, blogger with 500 + blogs.
India Book of Record Holder for writing 106 books on Mathematics.
My books are published by Rupa, Britannica, Pustak Mahal, Scholastic, Prabhat, Ocean books, Rising Publishers, Amar Ujala.
All my books are available on Amazon, Flipkart, Bookadda and google books.
My weekly articles get published on Every Wednesday in Amar Ujala Newspaper. I also write column for Dainik Jagaran, Navbharat Times, Vigyan Pragati, Teacher Plus, Aviskar, Vigyan Aapke liye .
Presently working at DIET Daryaganj as an Assistant Professor.
I am also the Resource person working with CBSE, NCERT, NIOS, VVM, SSUN, AIRMC, VIPNET,IISF, Sarayu Trust, RIT Chennai, etc.
Linear Equation in Two Variables - Class 10 -MCQ - K Bhanumoorthy
Chapter Linear equations.
Class X, CBSE
1) The given
equation is x +2y = 6, the line meets the X axis at
a)
(6, 0) b) (0, 6)
c) ( 3, 0 )
2) The equation Y
axis is
a)
Y =0 b) X =0
, c) XY = 0
3) The given
equations x + y = 2 , - x
+ y = 4; intersect at
a) (3, 1) b) (
- 1, 3 ) c ) ( - 1, -3 )
4) The given
equations x + 2 y = 3 , 2x
+ 4 y = 5 are
a)
Parallel b) Not parallel c )
many solutions
5) The given equations
x + y= 5, 2x + 2y = 5 are
a) Inconsistant b) consistant c) One solution
6) The line 2x + y
- 4 = 0, meets the Y axis at
a) (4, 0) b) ( 0, 4 ) c ) ( 2,4)
7) The
equations 3x + 2y = 2, 6x + 4y = 4 ,have
a) No solution b) one solution c) infinitely many
8) The lines , x –
2y -2 = 0, 2x + y – 4 = 0 have
a) One solution b) No
solution c) many solutions.
9) The given
equation is 2x – y – 2 = 0 , the line meets the Y axis at
a) ( - 2, 0 ) b ) ( 2, 0 ) c ( 0 , - 2 )
10)
The value of
k, for which kx + 3 y -
( k – 3 ) = 0, and
16x + ( 8 + K )y – k = 0 have infinite solutions
a) 2
b ) 4 c)
8
Answers : 1)
a , 2 ) b , 3) b , 4 ) a ,
5 ) a , 6 ) b ,
7) c ,
8) a , 9) c , 10 ) b
This MCQ paper is designed by Shri K Bhanumoorthy, a retired KV Prinicipal.
Mr. Bhanumoorthy is a winner of Ramanujan Award and Life time Achievement Award for his service in the field of mathematics. He lives in Banglore.
An author with 60 books, 62 e- books; columnist with 700 article published in various newspaper and magazine, blogger with 500 + blogs.
India Book of Record Holder for writing 106 books on Mathematics.
My books are published by Rupa, Britannica, Pustak Mahal, Scholastic, Prabhat, Ocean books, Rising Publishers, Amar Ujala.
All my books are available on Amazon, Flipkart, Bookadda and google books.
My weekly articles get published on Every Wednesday in Amar Ujala Newspaper. I also write column for Dainik Jagaran, Navbharat Times, Vigyan Pragati, Teacher Plus, Aviskar, Vigyan Aapke liye .
Presently working at DIET Daryaganj as an Assistant Professor.
I am also the Resource person working with CBSE, NCERT, NIOS, VVM, SSUN, AIRMC, VIPNET,IISF, Sarayu Trust, RIT Chennai, etc.
September 5, 2019
Construction - Class 10 - MCQ - by Dr Rajesh Kumar Thakur
Construction
1 1.
To divide a line segment PQ in the
ratio of m : n, draw a ray PX such that
a) m + n b) m – n c) mn d)
m/n
2 2.
To divide a line segment internally
in the ratio of m : n, the condition on m and n is -
a) m and n are real numbers b)
m and n are rational numbers
c)
m and n are positive integers d) m and n are irrationals
3 3.
When a triangle is constructed,
similar to given triangle with scale factor k, and the constructed triangle is
inside the given triangle then -
a)
k = 1 b) k > 1 c) k < 1 d) k = 0
4 4. From an external point P, to
construct tangents to a circle centered at O, OP is joined and then another
circle is drawn, taking M as centre and OM as radius the point M is the point
of intersection of OP and -
a)
perpendicular bisector of OP b) M and O coincide
c) M and P coincide d) the
circle
5.
To draw a pair of tangents to a
circle which are inclined to each other at an angle of 60 degree, it is
required to draw tangents at end points of those two radii of the circle, the
angle between them should be -
a)
1300 b) 1200 c)1400 d)
1500
6.
To divide a line segment AB in the
ratio of 5: 7, first a ray AX is drawn so that
a)
8 b) 10 c) 12 d)
14
7.
To construct a triangle similar to a
given triangle ABC with its sides 3/7 of the corresponding sides of triangle
ABC, first draw a ray BX such that 1
, B2
, --- B10 on BX at equal distances and next step is to join -
a)
join B10 to C b)
join B3 to C
c) join B4 to C d) join B7 to C
8.
To construct a triangle similar to a
given triangle ABC with its sides 5/3 of the corresponding sides of triangle
ABC, a ray BX is drawn such that CBX is an acute angle and X is on the opposite
side of A with respect to BC. What is the minimum number of points to be
located at equal distances on ray BX?
a)3 b) 4 c)5 d)6
9.
To draw a pair of tangents to a
circle which are inclined to each other at an angle of 45 degree, what should
be the angle between two radii?
a)1300 b) 1350 c)
900 d)1100
1 10. How
many tangents can be drawn from a point lying inside a circle?
a) 0 b)1 c)2 d) 4
Dr Rajesh Kumar Thakur
An author with 60 books, 62 e- books; columnist with 700 article published in various newspaper and magazine, blogger with 500 + blogs.
India Book of Record Holder for writing 106 books on Mathematics.
My books are published by Rupa, Britannica, Pustak Mahal, Scholastic, Prabhat, Ocean books, Rising Publishers, Amar Ujala.
All my books are available on Amazon, Flipkart, Bookadda and google books.
My weekly articles get published on Every Wednesday in Amar Ujala Newspaper. I also write column for Dainik Jagaran, Navbharat Times, Vigyan Pragati, Teacher Plus, Aviskar, Vigyan Aapke liye .
Presently working at DIET Daryaganj as an Assistant Professor.
I am also the Resource person working with CBSE, NCERT, NIOS, VVM, SSUN, AIRMC, VIPNET,IISF, Sarayu Trust, RIT Chennai, etc.
Arithmetic Progression - class 10 - - by Dr Rajesh Kumar Thakur / Mr K Bhanumoorthy
Arithmetic Progression
1. A sequence where the difference
between two consecutive number always remain same is called - a)
Arithmetic progression b) Geometric Progression c)
Harmonic Progression d) None of these
2. If a is the first term, d be the
difference of an AP then the nth term of AP is given by - a) a + nd b
) a + ( n – 1) d
c)
a + 3d d) n2d
3. If the first term is – 5, common
difference is 7, find the 15th number of the given sequence. a) 89 b) 93 c) 101 d)213
4. Find the 10th term from
the end of the AP: 4, 9, 14, --- 254?
A)
129 b)
89 c)209 d)
176
5. Find the middle number of the AP 7,
13, 19, … 241?
a)
121 b)
126 c) 234 d) a
and b both
6. If the mth term of an AP
is 1/n and nth term be 1/m then what will be the mnth term
a) 1 b) 4 c) 7 d)10
7. The 6th and 17th
term of an AP are 19 and 41 respectively, find the 40th term?
A) 46 b)
78 c) 87 d)
93
8. If 2x, x + 10, 3x + 2 are in AP then
find the value of x
a)
6 b) 11 c) 14 d)
8
9. If the first three terms of an AP are
3y – 1, 3y + 5 and 5y + 1 then find y
a)
– 3 b)
5 c)
9 d) 2
10. If k, 2k – 1 and 2k + 1 are three
consecutive terms of an AP then find the value of k? a) 2 b) 3 c) 5 d) 7
11. In an AP, if d = - 4, n = 7 and nth
term = 4 then what is the value of a? a) 6 b)
7 c) 20 d)28
12. The 21st term of an AP
whose first two terms are -3 and 4 is --- a)
17 b)
137 c)
143 d) -143
13. The famous mathematician associated
with the finding the sum of the first 100 natural number is - a)
Pythagoras b) Newton c)
Gauss d)
Euclid
14. The sum of first 16 terms of the AP
10, 6, 2--- is
a)
-320 b) 120 c) -352 d)
-400
15. If the sum of n terms of an AP is 2n2
+ 5n, then its nth term is - a)
4n – 3 b)
3n – 4 c) 4n + 3 d) 3n + 4
An author with 60 books, 62 e- books; columnist with 700 article published in various newspaper and magazine, blogger with 500 + blogs.
India Book of Record Holder for writing 106 books on Mathematics.
My books are published by Rupa, Britannica, Pustak Mahal, Scholastic, Prabhat, Ocean books, Rising Publishers, Amar Ujala.
All my books are available on Amazon, Flipkart, Bookadda and google books.
My weekly articles get published on Every Wednesday in Amar Ujala Newspaper. I also write column for Dainik Jagaran, Navbharat Times, Vigyan Pragati, Teacher Plus, Aviskar, Vigyan Aapke liye .
Presently working at DIET Daryaganj as an Assistant Professor.
I am also the Resource person working with CBSE, NCERT, NIOS, VVM, SSUN, AIRMC, VIPNET,IISF, Sarayu Trust, RIT Chennai, etc.
Application of Trignometry
Application
of Trigonometry
1 1.
The line drawn from the eye of an
observer to a point in the object where the person is viewing is called -
a)
horizontal line b) line of sight
c) vertical
line d)
parallel line
2 The angle formed by the line of sight
with the horizontal line when the object is above the horizontal level is
called the -
a) angle of
elevation b) angle of depression
c) alternate angle d) vertical opposite angle
3. The angle formed by the line of sight
with the horizontal when the object is below the horizontal level is called --
a) angle of elevation b)
angle of depression c) alternate angle d) vertical
opposite angle
4 .
A ladder is 100√3
m high. Find the angle of elevation of its top from a point 100m away from its
foot. a) 300 b) 450 c)
600 d)
900
5.
A ladder makes an angle of 60 deg.
with the ground when placed against a wall. If the foot of the ladder is 2m
away from the wall, then the length of the ladder is- a) 4m b) 4√3
m c) 4/√3m d)
6m
6.
The ratio of the length of a rod and
its shadow is 1 : √3. What is the angle of elevation of the sun? a)
300 b) 450 c)
600 d) 900
7.
If the angles of elevation of the top
a tower from two points distant a and b from the base and in the same straight
line with it are complementary then the height of the tower is -
a)
ab b)
a√b c) a/√3m d)a
8.
If the angles of elevation of the top
a tower from two points distant 4m and 9m from the base and in the same
straight line with it are complementary then the height of the tower is -
a)
4m b) 6m c)
9m d) 12m
9.
The angle of depression of a car
parked on the road from the top of a 150m high tower is 300. The
distance of the car from the tower is -
a)
50m b)50√3m c) 150√2m d) 100m
10. From
a light house the angle of depression of two ships on opposite sides of the
light house are observed to be 300 and 450. If the height
of the light house is h metres, what is the distance between the ships?
A)
(√3 + 1)m b) (√3
– 1)m c) √3
m d) 24m
11. A
kite is flying at a height of 60m above the ground. The string attached to kite
is temporarily tied to a point on the ground. The inclination of the string
with the ground is 60 deg. find the length of the string assuming that there is
no slack in the string?
a)40m b) 60√3m c) 60m d)
40√3m
12. A
tree 12m high is broken by the wind in such a way that its top touches the
ground and makes an angle of 60 deg. with the ground. At what height from the
bottom the tree is broken?
A)
5m b) 5.569m c)
6m d) 6.5m
13. When
we raise our hand to look at the object, the angle formed by the line of sight
with horizontal is known as -
a)
angle of elevation b)
angle of depression
c) acute
angle d)
obtuse angle
14. When the length of the shadow of a pillar is
equal to its height, the elevation at source of sight is -
a)
300 b) 450 c) 600 d) 900
15. A
ladder is 10m long. It touches a wall at height of 5m. the angle
made by it with
the horizontal line is -
a)
300 b) 450 c) 600 d) 900
16. The
tops of two poles of height 10m and 18m are connected with wire. If wire makes
an angle of 300 with horizontal, then length of wire is -
a)
10m b) 12m c)
16m d) 18m
17. A
ladder leans against wall at point B (window end) from a ground level and makes
an angle horizontally at 52°. height of ladder is 15 m. When same ladder leans
above point B at point A (window start) and makes an angle of 85° horizontally.
distance between point A and point B is-
a)
12.4m b) 3.12m c)
4m d) 5m
1 18. Height
of a light house is 65 m. angles of elevation and depression of top and foot of
a radar mast are 52° and 30° respectively. height of radar mast is -
a) 109m b) 209m c) 109.9m d) 209.9m
1 19. A
tower subtends an angle of 30 deg. at a point on the same level as its foot. At
a second point h meters above the first, the depression of the foot of the
tower is 60 degree. What is the height of the tower?
a)h
meter b)
h/2 meter c) h/3 meter d) h/4 meter
20. The
angle of elevation of a cloud from a point h metre above a lake is
The angle of depression of its reflection in the lake
is 45 degree. What is the height of cloud?
a)
h tan(45 + a) b) h tan(30 + a)
c c)
h tan(45 - a) d)
h cot(45 +a)
Dr Rajesh Kumar Thakur
An author with 60 books, 62 e- books; columnist with 700 article published in various newspaper and magazine, blogger with 500 + blogs.
India Book of Record Holder for writing 106 books on Mathematics.
My books are published by Rupa, Britannica, Pustak Mahal, Scholastic, Prabhat, Ocean books, Rising Publishers, Amar Ujala.
All my books are available on Amazon, Flipkart, Bookadda and google books.
My weekly articles get published on Every Wednesday in Amar Ujala Newspaper. I also write column for Dainik Jagaran, Navbharat Times, Vigyan Pragati, Teacher Plus, Aviskar, Vigyan Aapke liye .
Presently working at DIET Daryaganj as an Assistant Professor.
I am also the Resource person working with CBSE, NCERT, NIOS, VVM, SSUN, AIRMC, VIPNET,IISF, Sarayu Trust, RIT Chennai, etc.
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