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Class 10th Board 2017

Class 10th Board exam papers

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Chapter 1: Class 10th Board 2020

330 questions

Chapter 2: Class 10th Board 2019

171 questions

Chapter 3: Class 10th Board 2018

57 questions

Chapter 4: Class 10th Board 2017

67 questions

Biology Mathematics Science

Chapter 5: Class 10th Board 2016

67 questions

Chapter 6: Class 10th Board 2015

67 questions

Class 10th Board 2017

Topic List

questions: 67

Verified solutions and explanations

Verified

Easy (64)Medium (3)

Question 1

Easy

If one root of the quadratic equation

6 x^{2} - x - k = 0

\frac{2}{3}

, then find the value of

k

Topic:

Quadratic Equations

Exam:

Class 10th Board 2017

View 7 solutions

Question 2

Easy

A ladder

15 m

long makes an angle of

6 0^{\circ}

with the wall. Find the height of the point where the ladder touches the wall.

Topic:

Some Application of Trigonometry

Exam:

Class 10th Board 2017

View solution

Question 3

Easy

A solid metallic cuboid of dimensions

9 m \times 8 m \times 2 m

is melted and recast into solid cubes of edge 2 m. Find the number of cubes so formed.

Topic:

Surface Areas and Volumes

Exam:

Class 10th Board 2017

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Question 4

Easy

PQ

is a tangent drawn from an external point

P

to a circle with centre

O

, QOR is the diameter of the circle. If

∠ POR = 12 0^{\circ}

, what is the measure of

∠ OPQ

Topic:

Circles

Exam:

Class 10th Board 2017

View solution

Question 5

Easy

Solve for

x

3 x^{2} + 10 x - 83 = 0

Topic:

Quadratic Equations

Exam:

Class 10th Board 2017

View solution

Question 6

Easy

If seven times the 7th term of an A.P. is equal to eleven times the 11th term, then what will be its 18th term ?

Topic:

Arithmetic Progressions

Exam:

Class 10th Board 2017

View 5 solutions

Question 7

Easy

Two different dice are thrown together. Find the probability that the product of the numbers that appeared is less than 18.

Topic:

Probability

Exam:

Class 10th Board 2017

View 3 solutions

Question 8

Easy

If two adjacent vertices of a parallelogram are (3, 2) and (– 1, 0) and the diagonals intersect at (2, – 5), then find the coordinates of the other two vertices.

Topic:

Coordinate Geometry

Exam:

Class 10th Board 2017

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Question 9

Easy

In the given figure, if AB = AC, prove that BE = EC.

Topic:

Circles

Exam:

Class 10th Board 2017

View solution

Question 10

Easy

Find the probability that in a leap year there will be 53 Tuesdays.

Topic:

Probability

Exam:

Class 10th Board 2017

View 3 solutions

Question 11

Easy

If the roots of the quadratic equation

(a - b) x^{2} + (b - c) x + (c - a) = 0

are equal, prove that

2 a = b + c

Topic:

Quadratic Equations

Exam:

Class 10th Board 2017

View 13 solutions

Question 12

Easy

Find the sum of the following series :

5 + (-41) + 9 + (-39) + 13 + (-37) + 17 + ... + (-5) + 81 + (-3)

Topic:

Arithmetic Progressions

Exam:

Class 10th Board 2017

View solution

Question 13

Easy

The shadow of a tower at a time is three times as long as its shadow when the angle of elevation of the sun is

6 0^{\circ}

. Find the angle of elevation of the sun at the time of the longer shadow.

Topic:

Some Application of Trigonometry

Exam:

Class 10th Board 2017

View solution

Question 14

Easy

Find the coordinates of the points of trisection of the line segment joining the points (3, – 2) and (– 3, – 4).

Topic:

Coordinate Geometry

Exam:

Class 10th Board 2017

View 7 solutions

Question 15

Easy

In the given figure, PA and PB are tangents to a circle from an external point

P

such that

PA = 4 cm

and

∠ BAC = 13 5^{\circ}

. Find the length of chord AB.

Topic:

Circles

Exam:

Class 10th Board 2017

View 2 solutions

Question 16

Easy

Prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Topic:

Circles

Exam:

Class 10th Board 2017

View 2 solutions

Question 17

Easy

In the given figure, ABCD is a trapezium with AB

∣∣

DC, AB = 18 cm, DC = 32 cm and the distance between AB and AC is 14 cm. If arcs of equal radii 7 cm taking A, B, C and D as centres, have been drawn, then find the area of the shaded region.

Topic:

Area Related to Circles

Exam:

Class 10th Board 2017

View solution

Question 18

Easy

The radius and height of a solid right circular cone are in the ratio of

5 : 12

. If its volume is 314 cm

^{3}

, find its total surface area. [ Take

π

= 3·14 ]

Topic:

Surface Areas and Volumes

Exam:

Class 10th Board 2017

View 3 solutions

Question 19

Easy

In the given figure,

△ A BC

is an equilateral triangle of side 3 units. Find the coordinates of the other two vertices.

Topic:

Coordinate Geometry

Exam:

Class 10th Board 2017

View 2 solutions

Question 20

Easy

Show that

△ ABC

with vertices

A (- 2, 0), B (0, 2)

and

C (2, 0)

is similar to

△

DEF with vertices

D (- 4, 0), F (4, 0)

and

E (0, 4)

Topic:

Coordinate Geometry

Exam:

Class 10th Board 2017

View solution

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