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Day 449: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. Asked once: 18 Apr 2026 S1

    72
    Let f(x)=ax+bf(x) = ax + b and g(x)=cx+dg(x) = cx + d. The condition f(g(x))=g(f(x))f(g(x)) = g(f(x)) holds for all xx if and only if ...

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  2. Question 2

    Straight Line. Asked once: 13 Apr 2026 S1

    55
    The area of the triangle formed by the co-ordinate axes and a line px+qy=rpx + qy = r (where p, q and r are positive real numbers) is 154\dfrac{1}{54} sq.units, then ....

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  3. Question 3

    Trigonometric Functions. Asked once: 14 May 2026 S2

    69
    If sin⁡−1x+cos⁡−1(15)=π4\sin^{-1}x + \cos^{-1}\left(\dfrac{1}{\sqrt{5}}\right) = \dfrac{\pi}{4}, then x=…x = \ldots

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  4. Question 4

    Trigonometry - II. Asked once: 17 Apr 2026 S1

    53
    If cos⁡43∘+sin⁡43∘=k3\cos 43^\circ + \sin 43^\circ = k^3, then cos⁡2∘=…\cos 2^\circ = \ldots

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  5. Question 5

    Vectors. Asked once: 14 May 2026 S2

    96
    In △ABC\triangle ABC, mid-points of the sides AB, BC and CA are respectively (l,0,0)(l, 0, 0), (0,m,0)(0, m, 0) and (0,0,n)(0, 0, n). Then (AB)2+(BC)2+(CA)2l2+m2+n2=\dfrac{(AB)^2 + (BC)^2 + (CA)^2}{l^2 + m^2 + n^2} =

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