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Day 335: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2019

    30
    Which one of the following is an irrational number ?

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  2. Question 2

    Triangles. Asked once: CDS 2 2018

    71
    If base and hypotenuse of a right triangle are (u2−v2)(u^2 - v^2) and (u2+v2)(u^2 + v^2) respectively and the area of the triangle is 2016 square units, then the perimeter of the triangle may be

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 1 2018

    64
    ABC is a right angled triangle with base BC and height AB. The hypotenuse AC is four times the length of the perpendicular drawn to it from the opposite vertex. What is tan⁡C\tan C equal to ?

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: CDS 2 2016

    34
    If 4x+3a=04x + 3a = 0, then what is the value of x2+ax+a2x3−a3−x2−ax+a2x3+a3\frac{x^2 + ax + a^2}{x^3 - a^3} - \frac{x^2 - ax + a^2}{x^3 + a^3} ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 1 2019

    55
    What is the ratio of the area of a square inscribed in a semicircle of radius rr to the area of square inscribed in a circle of radius rr ?

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