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Day 217: MHT-CET Maths

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

  1. Question 1

    Conic Sections. Asked once: 17 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    59
    The equations of the tangents to the ellipse x216+y29=1\dfrac{x^2}{16} + \dfrac{y^2}{9} = 1 making an inclination of 30∘30^\circ with the major axis are

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  2. Question 2

    Sets, Relations and Functions. Asked once: 17 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    69
    If f:R→Rf : R \to R and g:R→Rg : R \to R are defined as f(x)=2x−∣x∣f(x) = 2x - |x| and g(x)=2x+∣x∣g(x) = 2x + |x|, then

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  3. Question 3

    Trigonometry - II. Asked once: 15 May 2023 S1 (same type asked 4 times) See all 4 of this type

    104
    The value of cos⁡(18∘−A)cos⁡(18∘+A)−cos⁡(72∘−A)cos⁡(72∘+A)\cos(18^{\circ}-A)\cos(18^{\circ}+A) - \cos(72^{\circ}-A)\cos(72^{\circ}+A) is equal to

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  4. Question 4

    Binomial Distribution. Asked once: 23 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    101
    A fair coin is tossed 100 times. The chance of getting a head even number of times is

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  5. Question 5

    Differential Equations. Asked once: 21 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    102
    A particular solution of dy dx=(x+9y)2\frac{dy}{\text{ }dx}= (x+ 9y)^{2}, when x=0,y=127x= 0,y=\frac{1}{27} is

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