Day 291: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Trigonometric Ratios and Identities. Asked once: CDS 2 2024
16 $64^{\sin^2\theta} + 64^{\cos^2\theta} = 16$
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Question 2 (case study, 2 parts)
Algebraic Identities and Simplification. Asked once: CDS 2 2023
Let $p = x^4 - y^2z^2$ , $q = y^4 - z^2x^2$ , $r = z^4 - x^2y^2$ .
37 $px^2 + qy^2 + rz^2$
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38 $x^2(px^2 + qy^2 + rz^2) + qr - p^2$
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Question 3
Circles. Asked once: CDS 2 2018
92 $In the figure given below, the radius of the circle is 6 cm and AT = 4 cm. The length of tangent PT is$
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Question 4
Heights and Distances. Asked once: CDS 2 2016
82 $If the length of the shadow of a tower is equal to its height, then what is the Sun's altitude at that time ?$
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Question 5
Linear Equations. Asked once: CDS 2 2018
31 $The sum of ages of a father, a mother, a son Sonu and daughters Savita and Sonia is 96 years. Sonu is the youngest member of the family. The year Sonu was born, the sum of the ages of all the members of the family was 66 years. If the father's age now is 6 times that of Sonu's present age, then 12 years hence, the father's age will be$
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Question 1