Day 162: CDS Maths

5 questions. Try each one first, then open its answer.

Question 1
Trigonometric Ratios and Identities. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type
50 $x^2 + y^2 - 2xy\sin^2 \theta = 0$
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Question 2
Simple and Compound Interest. Asked once: CDS 1 2023 (same type asked 5 times) See all 5 of this type
41 $What is the difference between simple interest and compound interest on Rs. 10,000 for two years at 20% per annum compounded half-yearly ?$
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Question 3
Trigonometric Ratios and Identities. Asked once: CDS 2 2021 (same type asked 5 times) See all 5 of this type
46 $\cos^3\theta+\sec^3\theta$
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Question 4
Mensuration 3D. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type
73 $The radii of the frustum of a right circular cone are in the ratio 2 : 1. What is the ratio of the volume of the frustum of the cone to that of the whole cone ?$
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Question 5
Mensuration 2D. Asked once: CDS 1 2019 (same type asked 5 times) See all 5 of this type
46 $An equilateral triangle and a square are constructed using metallic wires of equal length. What is the ratio of area of triangle to that of square ?$
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Question 1