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Math Paper Tution

This document is a test paper for STD 10 Maths covering topics like Arithmetic Progression, Coordinate Geometry, and Trigonometry. It consists of multiple sections with varying marks, including multiple-choice questions, evaluations, and problem-solving questions. The total marks for the test paper are 40.

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Dhairya Raghav
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9 views2 pages

Math Paper Tution

This document is a test paper for STD 10 Maths covering topics like Arithmetic Progression, Coordinate Geometry, and Trigonometry. It consists of multiple sections with varying marks, including multiple-choice questions, evaluations, and problem-solving questions. The total marks for the test paper are 40.

Uploaded by

Dhairya Raghav
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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100 Plus Academy

STD 10 Maths Total Marks : 40


Arithmetic Progression , Coordinate Geometry and Trigo Test Paper -2

Section A

➤ Choose the right answer from the given options. [1 Marks Each] [05]
1. For what value of n , are the n
th
terms of two A.P.'s 52, 54, 56, … … and
4, 12, 20, … . . equal ?

(A) 11 (B) 12 (C) 10 (D) 9


2. Find how many terms are there in the A.P. 16, 24, 32, … … , 96 .
(A) 10 (B) 11 (C) 12 (D) 14

3. Find the values of k for which the distance between the points A(k, −5) and
B(2, 7) is 13 units.
(A) 7,3 (B) −7, 3
(C) 7, −3 (D) −7, −3
4. The distance between the points (2, 3) and (5, 6) is -
– –
(A) 2√3 (B) 3√2 (C) 18 (D) 6

5. 2 tan 30
2
∘

∘
=
1−tan 30

(A) cos 60 ∘
(B) sin 60 ∘
(C) tan 60 ∘
(D) sin 30 ∘

Section B

➤ Given section consists of questions of 2 marks each. [10]


1. Evaluate: ∘
sin 30 +tan 45 − cosec60
∘
∘

∘ ∘
∘

sec 30 +cos 60 +cot 45

2. Evaluate the following:


∘ ∘ ∘
tan 45 sec 60 5 sin 90
∘ + ∘ − ∘
cosec30 cot 45 2 cos 0

3. For what value of k will the consecutive terms 2k + 1, 3k + 3 and 5k - 1 form on


A.P.?
4. Find the 8th term from the end of the A.P. 7, 10, 13,... 184.

5. Find the point on x-axis which is equidistant from the points (-2, 5) and (2, -3).

Section C

➤ Given section consists of questions of 3 marks each. [15]


1. If
find the value of
2 2
5 sin θ− cos θ 1
cos θ = , × 2
.
13 2 sin θ cos θ tan θ

2. Find the sum of all multiples of 7 lying between 500 and 900 .

Page 1
3. The sum of n term of an A.P is 3n
2
+ 5n . Find the A.P and its th
15 term.
4. Find the ratio in which the point P (x, 2) divides the line segment joining the
points A(12, 5) and B(4, −3) . Also find the value of x.
5. The three vertices of a parallelogram ABCD are A(3, −4), B(−1, −3) and C(−6, 2).
Find the coordinates of vertex D and find the area of parallelogram ABCD.

Section D

➤ Given section consists of questions of 5 marks each. [10]


1. The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and

10th terms is 34. Find the first term and the common difference of the A.P.
2. Find the lengths of the medians of a triangle whose vertices are A(-1, 3), B(1, -1)
and C(5, 1).
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