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Day 238: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 20 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    104
    The acute angle between the diagonals of a parallelogram whose vertices are A(2,−1)A(2, - 1), B(0,2),C(2,3)B(0,2),C(2,3) and D(4,0)D(4,0) is

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  2. Question 2

    Line and Plane. Asked once: 11 May 2024 S1 (same type asked 3 times) See all 3 of this type

    111
    If the direction cosines l,m,nl, m, n of two lines are connected by relations l−5m+3n=0l - 5m + 3n = 0 and 7l2+5m2−3n2=07l^2 + 5m^2 - 3n^2 = 0, then value of l+m+nl+m+n is

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  3. Question 3

    Trigonometric Functions. Asked once: 12 May 2024 S1 (same type asked 3 times) See all 3 of this type

    141
    In a triangle, the sum of lengths of two sides is xx and the product of the lengths of the same two sides is yy. If x2−c2=yx^{2}-c^{2}=y where cc is the length of the third side of the triangle, then the circumradius of the triangle is

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  4. Question 4

    Trigonometric Functions. Asked once: 20 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    119
    In a triangle ABCABC, the sides a,b,ca,b,c are such that they are the roots of the equation x3−11x2+38x−40=0x^{3}- 11x^{2}+ 38x- 40 = 0 Then cos⁡Aa+cos⁡Bb+cos⁡Cc=\frac{\cos A}{a}+\frac{\cos B}{b}+\frac{\cos C}{c}=

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  5. Question 5

    Complex Numbers. Asked once: 15 May 2023 S2 (same type asked 3 times) See all 3 of this type

    122
    If the complex number z=x+iyz = x+iy, where i=−1i = \sqrt{-1}, satisfies the condition ∣z+1∣=1|z+1| = 1, then zz lies on

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