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Day 450: MHT-CET Maths

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

  1. Question 1

    Applications of Definite Integral. Asked once: 26 Apr 2025 S2

    116
    If the area bounded by the curve x2=4y,Xx^{2}= 4y,X-axis and the line x=4x= 4 is divided into equal areas by the line x=αx=\alpha, then the value of α\alpha is ...

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  2. Question 2

    Applications of Derivative. Asked once: 12 May 2026 S2

    75
    A tangent is drawn from the origin (0,0)(0, 0) to the curve y=sin⁡xy = \sin x. If (x,y)(x, y) is the point of contact and x≠0x \neq 0, then which of the following relations is true?

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  3. Question 3

    Circle. Asked once: 20 Apr 2025 S2

    102
    The number of integral values of k for which x2+y2+kx+(1−k)y+5=0x^{2}+y^{2}+ kx+ (1 - k)y+ 5 = 0 represents a circle whose radius cannot exceeds 5 , are

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  4. Question 4

    Complex Numbers. Asked once: 12 May 2024 S2

    102
    If ∣z−2+i∣≤2|z - 2 + i| \leq 2, then the difference between the greatest and least value of ∣z∣|z| is (i=−1)(i = \sqrt{-1})

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  5. Question 5

    Conic Sections. Asked once: 20 Apr 2026 S1

    61
    If θ\theta is the eccentric angle of a point on the ellipse x225+y29=1\dfrac{x^2}{25} + \dfrac{y^2}{9} = 1 such that the distance of the point from the center is 55, then θ=\theta =.......

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