PYQ Vault
EbooksTutor

Day 314: CDS Maths

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

  1. Question 1

    Triangles. Asked once: CDS 1 2022

    78
    Let DD, EE and FF be the midpoints of the sides BCBC, CACA and ABAB respectively of a triangle ABCABC. Triangle DEFDEF is congruent to which of the following triangles? 1. AEFAEF 2. FBDFBD 3. EDCEDC Select the correct answer using the code given below.

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2022

    55
    Consider the following : 1. tan⁡θ+sin⁡θtan⁡θ−sin⁡θ=sec⁡θ+1sec⁡θ−1\frac{\tan\theta + \sin\theta}{\tan\theta - \sin\theta} = \frac{\sec\theta + 1}{\sec\theta - 1}, where 0<θ<π20 < \theta < \frac{\pi}{2}. 2. cos⁡2θ−sin⁡2θcos⁡2θ+sin⁡2θ=2tan⁡θtan⁡2θ+1\frac{\cos^2\theta - \sin^2\theta}{\cos^2\theta + \sin^2\theta} = \frac{2\tan\theta}{\tan^2\theta + 1}, where 0<θ<π20 < \theta < \frac{\pi}{2}. Which of the above is/are identities ?

    Tap an option to check your answer.

  3. Question 3

    Algebraic Identities and Simplification. Asked once: CDS 1 2022

    44
    Consider a question and two statements : Question : Is x6+y6x4+y4\frac{x^6 + y^6}{x^4 + y^4} always greater than x4+y4x2+y2\frac{x^4 + y^4}{x^2 + y^2} (x≠y≠0)(x \ne y \ne 0)? Statement-I : x>yx > y Statement-II : x2+y2>2xyx^2 + y^2 > 2xy Which one of the following is correct in respect of the question and the statements?

    Tap an option to check your answer.

  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2022

    53
    What is the diameter of a circle inscribed in a regular polygon of 15 sides with side length unity ?

    Tap an option to check your answer.

  5. Question 5

    Mensuration 3D. Asked once: CDS 1 2019

    64
    A thin rod of length 24 feet is cut into rods of equal size and joined so as to form a skeleton cube. What is the area of one of the faces of the largest cube thus constructed ?

    Tap an option to check your answer.