PYQ Vault
EbooksTutor

Day 191: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 2 2021 (same type asked 6 times) See all 6 of this type

    54
    What is the value of sin⁡24∘sin⁡66∘−cos⁡24∘cos⁡66∘+tan⁡24∘tan⁡66∘−cot⁡24∘cot⁡66∘\sin 24^\circ\sin 66^\circ-\cos 24^\circ\cos 66^\circ+\tan 24^\circ\tan 66^\circ-\cot 24^\circ\cot 66^\circ ?

    Tap an option to check your answer.

  2. Question 2

    Circles. Asked once: CDS 2 2016 (same type asked 5 times) See all 5 of this type

    48
    In a circle of radius 3 units, a diameter ABAB intersects a chord of length 2 units perpendicularly at PP. If AP>BPAP > BP, then what is the ratio of APAP to BPBP ?

    Tap an option to check your answer.

  3. Question 3

    Heights and Distances. Asked once: CDS 1 2022 (same type asked 5 times) See all 5 of this type

    54
    The angle of elevation of the top of a tower of height xx metre from a point on the ground is found to be 60∘60^\circ. By going yy metre away from that point, it becomes 30∘30^\circ. Which one of the following relations is correct?

    Tap an option to check your answer.

  4. Question 4 (case study, 2 parts)

    Mensuration 2D. Asked once: CDS 2 2021 (same type asked 5 times) See all 5 of this type

    Consider the following for the next two (02) items that follow : A chord of a circle of radius 2.1 cm subtends an angle of 120∘120^\circ at the centre. (take π=227\pi = \frac{22}{7} and 3=1.732\sqrt{3} = 1.732)
    79
    What is the approximate area of minor segment of the circle ?

    Tap an option to check your answer.

    80
    What is the approximate area of major segment of the circle ?

    Tap an option to check your answer.

  5. Question 5

    Mensuration 2D. Asked once: CDS 1 2020 (same type asked 5 times) See all 5 of this type

    81
    If the diagonals of a rhombus are xx and yy, then what is its area ?

    Tap an option to check your answer.