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Class 10th Board

Class 10th Board 2019

Class 10th Board exam papers

Last 6 years - Previous year question papers

Chapter 1: Class 10th Board 2020

330 questions

Chapter 2: Class 10th Board 2019

171 questions

Biology Mathematics Science

Chapter 3: Class 10th Board 2018

57 questions

Chapter 4: Class 10th Board 2017

67 questions

Chapter 5: Class 10th Board 2016

67 questions

Chapter 6: Class 10th Board 2015

67 questions

Class 10th Board 2019

Topic List

questions: 171

Verified solutions and explanations

Verified

Easy (165)Medium (6)

Question 1

Easy

Find the coordinates of a point

A

, where

AB

is diameter of a circle whose centre is

(2, - 3)

and

B

is the point

(1, 4)

Topic:

Coordinate Geometry

Exam:

Class 10th Board 2019

View 6 solutions

Question 2

Easy

For what values of

k

, the roots of the equation

x^{2} + 4 x + k = 0

are real?

Topic:

Quadratic Equations

Exam:

Class 10th Board 2019

View 5 solutions

Question 3

Easy

Find

A

tan 2 A = cot (A - 2 4^{\circ})

Topic:

Introduction to Trigonometry

Exam:

Class 10th Board 2019

View 2 solutions

Question 4

Easy

How many two digits numbers are divisible by 3 ?

Topic:

Arithmetic Progressions

Exam:

Class 10th Board 2019

View solution

Question 5

Easy

In Fig.,

DE ∥ BC, AD = 1 cm

and

BD = 2 cm

. What is the ratio of the

ar (△ ABC)

to the ar (

△ ADE)

Topic:

Triangles

Exam:

Class 10th Board 2019

View solution

Question 6

Easy

Find a rational number between

2

and

3

Topic:

Real Numbers

Exam:

Class 10th Board 2019

View 81 solutions

Question 7

Easy

Find the HCF of 1260 and 7344 using Euclid's algorithm.

Topic:

Real Numbers

Exam:

Class 10th Board 2019

View 4 solutions

Question 8

Easy

Which term of the AP

3, 15, 27, 39, \dots

will be 120 more than its 21 st term ?

Topic:

Arithmetic Progressions

Exam:

Class 10th Board 2019

View 5 solutions

Question 9

Easy

Find the ratio in which the segment joining the points

(1, - 3)

and

(4, 5)

is divided by

x

-axis ? Also find the coordinates of this point on

x

-axis.

Topic:

Coordinate Geometry

Exam:

Class 10th Board 2019

View 10 solutions

Question 10

Easy

A game consists of tossing a coin 3 times and noting the outcome each time. If getting the same result in all the tosses is a success, find the probability of losing the game.

Topic:

Probability

Exam:

Class 10th Board 2019

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Question 11

Easy

A die is thrown once. Find the probability of getting a number which (i) is a prime number (ii) lies between 2 and 6 .

Topic:

Probability

Exam:

Class 10th Board 2019

View 2 solutions

Question 12

Easy

Find

c

if the system of equations

c x + 3 y + (3 - c) = 0; 12 x + cy - c = 0

has infinitely many solutions ?

Topic:

Pair of Linear Equations in Two Variables

Exam:

Class 10th Board 2019

View 6 solutions

Question 13

Easy

Prove that

2

is an irrational number.

Topic:

Real Numbers

Exam:

Class 10th Board 2019

View 14 solutions

Question 14

Easy

Find the value of

k

such that the polynomial

x^{2} - (k + 6) x + 2 (2 k - 1)

has sum of its zeros equal to half of their product.

Topic:

Polynomials

Exam:

Class 10th Board 2019

View 12 solutions

Question 15

Easy

A father's age is three times the sum of the ages of his two children. After 5 years his age will be two times the sum of their ages. Find the present age of the father.

Topic:

Pair of Linear Equations in Two Variables

Exam:

Class 10th Board 2019

View 4 solutions

Question 16

Easy

Find the point on

y

-axis which is equidistant from the points

(5, - 2)

and

(- 3, 2)

Topic:

Coordinate Geometry

Exam:

Class 10th Board 2019

View 8 solutions

Question 17

Easy

Prove that

(sin θ + cosec θ)^{2} + (cos θ + sec θ)^{2} = 7 + tan^{2} θ + cot^{2} θ

Topic:

Introduction to Trigonometry

Exam:

Class 10th Board 2019

View 4 solutions

Question 18

Easy

In Fig. PQ is a chord of length

8 cm

of a circle of radius

5 cm

and centre

O

. The tangents at

P

and

Q

intersect at point

T

. Find the length of TP.

Topic:

Circles

Exam:

Class 10th Board 2019

View 5 solutions

Question 19

Easy

P

and

Q

are the points on side

CA

and

CB

respectively of

△ ABC

, right angled at

C

, prove that

(AQ^{2} + BP^{2}) = (AB^{2} + PQ^{2})

Topic:

Triangles

Exam:

Class 10th Board 2019

View 2 solutions

Question 20

Easy

Find the area of the shaded region in Fig., if

ABCD

is a rectangle with sides

8 cm

and

6 cm

and

O

is the centre of circle. (Take

π = 3.14

)

Topic:

Area Related to Circles

Exam:

Class 10th Board 2019

View solution

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