10th Maths Objective type Questions
Chapter 1
Q1. Choose the correct option:
1) The LCM of 6 and 20 is
a) 60 b) 2 c) 1 d) 5
2) The HCF of 96 and 404 is
a) 120 b) 4 c) 10 d) 7
3) The LCM of 96 and 404 is
a) 9696 b) 9797 c) 9898 c) 9897
4) The LCM of 6,72, and 120 is
a) 430 b) 360 c) 260 d) 250
5) The HCF of 6,72. and 120
a) 7 b) 8 c) 5 d) 6
Answer:
1)a 2)b 3)a 4)b 5)6
Chapter 2
Q1. Choose the correct option:
1) The zeroes of the polynomial 6x2-3-7x will be
a) -13,32 b) -23,34 c) -12,25 d) -17,25
2) The zeroes of the polynomial x2-3 will be
a) +√3,-√3
b) +3,-3
c) 3
d) 5
3) If α and β are the zeroes of the quadratic polynomial ax2+bx+c, then value of α+β is
a) ba b) -ba c) -ab d) ab
4) The zeroes of polynomial x2+7x+10. will be
a) 3,5 b) 4,6 c) -2,-5 d) 7,8
5) If α and β are the zeroes of the quadratic polynomial ax2+bx+c, then value of α×β is
a) ba b) -ba c) -ab d) ca
Answer:
1)a 2)a 3)b 4)c 5)d
Chapter 3
Q1. Fill in the blanks:
1) If the system gives no solution, then lines are _____.
2) If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is ______.
3) If the system gives infinitely many solutions, then lines are______.
4) If the system gives the unique solution, then lines are ______.
5) If the lines are parallel, then the pair of equations has no solutions. In this case, the pair of equations is_____.
Answer:
1) Parallel lines 2) consistent 3) Coincident lines 4) Intersecting lines 5) inconsistent
Chapter 4
Q1. Fill in the blanks:
1) The roots of the quadratic equation 6x2-x-2 are _____.
2) A quadratic equation ax2+bx+c=0 has two _____ roots if b2-4ac=0
3) A quadratic equation ax2+bx+c=0 has two_______ roots if b2-4ac<0
Answer:
1) 23,-12 2) equal real 3) no real
Chapter 5
Q1. Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP ;
|
|
|
| |
v) |
2) For the AP:32,12,-12,-32,.... the common difference d is _____.
3) 30th term of the AP:10,7,4,.... is _____.
Answer:
1. i) an=28 ii) d=2 iii) a=46 iv) n=10 v) an=3.5
Q2. Choose the correct choice is the following:
i) 30th term of the AP : 10,7,4,...is
A) 97 B) 77 C) -77 D) -87
ii) 11th term of the AP : -3,-12,2,....is :
A) 28 B) 22 C) -38 D) -4812
Answer:
i) C ii) B
Chapter 6
Q1. Fill in the blanks using the correct word given in brackets :
i) All circles are______.
ii) All square are______.
iii) All __________ triangles are similar.
iv) Two polygons of the same number of sides are similar, if
(a) their corresponding angles are ______ and
(b) their corresponding sides are _______ .
Answer :
i) similar, ii) similar, iii) equilateral, iv) a) equal, b) proportional.
Q2. Tick the correct answer and justify: In △ABC, AB=6√3cm and BC=6cm.The angle B is:
A) 120∘ B) 60∘ C) 90∘ D) 45∘
Answer:
C
Chapter 7
Q1. Answer in one word/ sentence.
1) The distance between the pair of points (2,3),(4,1).
2) The Area of a triangle whose vertices are (1,-1),(-4,6) and (-3,-5).
Answer:
1) 2√2 2) 24
Chapter 8.
Q1. State whether the following are true or false, Justify your answer:
i) The value of tanA is always less than 1.
ii) secA=125 for some value of angle A.
iii) cosA is the abbreviation used for the cosecant of angle A.
vi) cotA is the product of cot and A.
v) sinθ=43 for some angle θ.
Answer:
i) false, ii) true iii) false iv) false v) false.
Q.2 Choose the correct option:
i) 2tan30∘1+tan230∘=
A) sin60∘ B) cos60∘ C) tan60∘ D) sin30∘
ii) 1-tan245∘1+tan245∘=
A) tan90∘ B) 1 C) sin45∘ D) 0
iii) sin2A=2sinA is true when A=
A) 0∘ B) 30∘ C) 45∘ D) 60∘
iv) 2tan30∘1-tan230∘=
A) cos60∘ B) sin60∘ C) tan60∘ D) sin30∘
Answer:
i) A ii) D iii) A iv) C
Q3. Choose the correct option.
i) 9sec2A-9tan2A=
A) 1 B) 9 C) 8 D) 0
ii) (1+tanθ+secθ)(1+cotθ-cosecθ)=
A) 0 B) 1 C) 2 D) -1
iii) (secA+tanA)(1-sinA)=
A) secA B) sin A C) cosecA D) cosA
iv) 1+tan2A1+cot2A=
A) sec2A B) -1 C) cot2A D) tan2A
Answer:
i) B ii) C iii) D iv) D
Q4. Match the column
1) sin(90∘-θ) i) cotθ
2) cos(90∘-θ) ii) sec2θ
3) tan(90∘-θ) iii) cosθ
4) cosec60∘ iv) sinθ
5) 1+tan2θ v) cot2θ
6) cosec2θ-1 vi) 2√3
Answer:
1) iii 2) iv 3) i 4) vi 5) ii 6) v
Q5. Match the column
1) cot(90∘-θ) i) 1
2) sec(90∘-θ) ii) tanθ
3) cosec(90∘-θ) iii) cosecθ
4) cos2A+sin2A iv) √3
5) cos30∘ v) secθ
6) tan60∘ vi) √32
Answer:
1) ii 2) iii 3) v 4) i 5) vi 6) iv
Chapter 10
Q1. How many tangents can a circle have?
Answer:
Infinitely many.
Q2. Fill in the blanks:
i) A tangents to a circle intersects it in _____ point (s).
ii) A line intersecting a circle in two points is called a ______.
iii) A circle can have ______ parallel tangents at the most.
iv) The common point of a tangent to a circle and the circle is called ______.
Answer:
i) 1 ii) secant iii) 2 iv) point of contact.
Q3. A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ=12cm. Length PQ is :
A) 12cm B) 13cm C) 8.5cm D) √119cm
Answer:
D) √119cm
In Q. 4 to 6, choose the correct option and give justification.
4. From a point Q, the length of the tangent to a circle is 24cm and the distance of Q from the centre is 25cm. The radius of the circle is
A) 7cm B) 12cm C) 15cm D) 24.5cm
5. In the figure, If TP and TQ are the two tangents to a circle with centre O so that ∠POQ=110∘, then ∠PTQ is equal to
A) 60∘ B) 70∘ C) 80∘ D) 90∘
6. If tangents PA and PB from a point P to a circle with centre O are each other at angle of 80∘, then ∠POA is equal to
A) 50∘ B) 60∘ C) 70∘ D) 80∘
Answer:
4) A 5) B 6) A
Chapter 12
Q1. Tick the correct answer in the following:
i) If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
A) 2units B) π C) 4 units D) 7 units
ii) Area of a sector of angle p (in degrees) of a circle with radius R is
A) p/180 times 2πR B) p/180 times πR^2 C) p/360 times 2πR D) p/720 times 2πR^2
iii) The area of a sector of a circle with radius 6 cm if the angle of the sector is 60^circ
A) 32/7 B) 63/7 C) 78/7 D) 132/7
Answer:
i) A ii) D iii) D
Chapter 13
Q1. True/ False
1) The slant height of cone l =sqrt(r^2 + h^2)
2) Curved Surface Area of hemisphere 4pi r^2.
Answer:
1) True 2) false.
Chapter 14
Q1. True/false
1) The median is a measure of central tendency which gives the value of the middlemost observation in the data.
2)The commutative frequency distribution is required for calculating medians.
Answer:
1) True 2) True.
Chapter 15
Q1. Complete the following statements:
i) Probability of an event E + Probability of the event 'not E' = ______.
ii) The probability of an event that cannot happen is _______. Such an events is called ______.
iii) The probability if ab event that is certain to happen is _______. Such an event is called ______.
iv) The sum of the probabilities of all the elementary events of an experiment is ________.
v) The probability of an event is greater than or equal to _______ and less than or equal to _______.
Answer:
i) 1 ii) 0, impossible event iii) 1, sure or certain event iv) 1 v) 0, 1
Q2. Which of the following experiments have equally likely outcomes?
i) A driver attempts to start a car. The car starts or does not start.
ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.
iii) A trial is made to answer a true-false question. The answer is right or wrong.
iv) A baby is born. It is a boy or a girl.
Answer:
iii) and vi) have equally likely outcomes.
Q3. Choose the correct options
i) Which of the following cannot be the probability of an event?
A) 2/3 B) -1.5 C) 15% D) 0.7
Answer:
i) B
Comments