CBSE CLASS – X
MATH SOLUTIONS
(30/1, 2, 3)
Series LRH
(ALL INDIA)
SECTION – A(Set-1, 2 and 3)
This solution as per the order of questions given in set – 1, additional questions that appeared in set – 2 and
Set – 3 are given at the end.
1.
Write whether
2 45 + 3 20
on simplification gives a rational or an irrational number.
2 5
6
6
2.
If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
3.
If the sum of the first q terms of an A.P. is 2q + 3q2, what is its common difference?
4.
If figure 1, CP and CQ are tangents from external point C to a circle with centre O. AB is another
tangent which touches the circle at R. If CP = 11 cm and BR = 4 cm, find the length of BC.
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5.
In figure 2, DE || BC in ∆ABC such that BC = 8 cm, AB = 6 cm and DA = 1.5 cm. Find DE.
6.
If 5x = sec θ and
7.
What is the distance between the points A(c, 0) and B(0, – c)?
8.
In a ∆ABC, right-angled at C, AC = 6 cm and AB = 12 cm. Find ∠A.
1 ⎞
5
⎛
= tan θ, find the value of 5 ⎜ x 2 − 2 ⎟ .
x
x ⎠
⎝
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9.
The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular
ends is 4 cm, write the height of the frustum.
10.
A die is thrown once. What is the probability of getting a number greater than 4?
SE T – 2
6.
If 7x = c os ec θ and
7
1
⎛
= cot θ , f i nd t he v al ue of ⎜ x 2 − 2
x
x
⎝
⎞
⎟.
⎠
SE T – 3
6.
If c os ec θ = 3x and c ot θ =
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3
1 ⎞
⎛
, f i n d t he v al ue of ⎜ x 2 − 2 ⎟.
x
x ⎠
⎝
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