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Day 294: CDS Maths

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

  1. Question 1

    Triangles. Asked once: CDS 2 2024

    27
    In a triangle ABCABC, DD is a point on BCBC. If AB⋅DC=AC⋅BDAB \cdot DC = AC \cdot BD, ∠BAD=α\angle BAD = \alpha and ∠CAD=β\angle CAD = \beta then which one of the following is correct ?

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  2. Question 2 (case study, 2 parts)

    Trigonometric Ratios and Identities. Asked once: CDS 2 2024

    ABCABC is a triangle right-angled at BB. Given that AC−AB=2AC - AB = 2 cm and BC=16BC = 16 cm
    56
    If ∠BAC=θ\angle BAC = \theta then what is sin⁡θ+cos⁡θ\sin\theta + \cos\theta equal to ?

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    57
    If BDBD is the perpendicular on the side ACAC, then what is the length of BDBD ?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: CDS 2 2023

    22
    If (3a+6b+c+2d)×(3a−6b−c+2d)=(3a−6b+c−2d)×(3a+6b−c−2d)(3a + 6b + c + 2d) \times (3a - 6b - c + 2d) = (3a - 6b + c - 2d) \times (3a + 6b - c - 2d), then which one of the following is correct ?

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  4. Question 4

    Circles. Asked once: CDS 2 2018

    95
    In the figure given below, AB is the diameter of the circle whose centre is at O. Given that ∠ECD=∠EDC=32∘\angle ECD = \angle EDC = 32^\circ, then ∠CEF\angle CEF and ∠COF\angle COF respectively are

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  5. Question 5

    Linear Equations. Asked once: CDS 1 2018

    28
    Rs. 120 is distributed among A, B and C so that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share?

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