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Day 316: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 25 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    109
    If x2a2+y2 b2=1\frac{x^{2}}{a^{2}}+\frac{y^{2}}{{\text{ }b}^{2}}= 1, then d2y dx2\frac{d^{2}y}{\text{ }dx^{2}} is

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  2. Question 2

    Line and Plane. Asked once: 2 May 2023 S1 (same type asked 3 times) See all 3 of this type

    135
    The Cartesian equation of the plane, passing through the points (3,1,1)(3,1,1), (1,2,3)(1,2,3) and (−1,4,2)(-1,4,2), is

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  3. Question 3

    Circle. Asked once: 22 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    116
    The equations of the tangents to the circle x2+y2=36x^{2}+y^{2}= 36 which are perpendicular to the line 5x+y=25x + y = 2, are

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  4. Question 4

    Applications of Definite Integral. Asked once: 9 May 2024 S2 (same type asked 3 times) See all 3 of this type

    138
    The area (in sq. units) bounded by the curve y=x∣x∣y = x|x|, X-axis and the lines x=−1x = -1 and x=1x = 1 is

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  5. Question 5

    Determinants and Matrices. Asked once: May 2021 S1 (same type asked 3 times) See all 3 of this type

    117
    If matrix A=(1−123)A = \begin{pmatrix}1&-1\\2&3\end{pmatrix}, then A2−4A+5IA^2 - 4A + 5I is where II is a unit matrix.

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