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Day 212: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 15 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    88
    If a⃗+b⃗+c⃗=0⃗,∣a⃗∣=∣b⃗∣=∣c⃗∣=3\vec{a} + \vec{b} + \vec{c} = \vec{0}, |\vec{a}| = |\vec{b}| = |\vec{c}| = 3 and θ\theta is the angle between b⃗\vec{b} and c⃗\vec{c} then tan⁡2θ+cot⁡2θ=\tan^2\theta + \cot^2\theta =

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  2. Question 2

    Complex Numbers. Asked once: 20 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    52
    If i=−1i = \sqrt{-1} then [i18+(1i)25]3=\left[i^{18} + \left(\dfrac{1}{i}\right)^{25}\right]^3 =

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  3. Question 3

    Linear Programming. Asked once: 16 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    97
    The minimum value of z=3x+5yz = 3x + 5y, subject to constraints x≤80,y≥60,x+y≤200x \le 80, y \ge 60, x + y \le 200 & x,y≥0x, y \ge 0 occurs at the point...

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  4. Question 4

    Pair of Straight Lines. Asked once: 9 May 2024 S2 (same type asked 4 times) See all 4 of this type

    101
    If the slope of one of the lines represented by ax2+(2a+1)xy+2y2=0ax^2 + (2a+1)xy + 2y^2 = 0 is reciprocal of the slope of the other, then the sum of squares of slopes is

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  5. Question 5

    Vectors. Asked once: 14 May 2026 S1 (same type asked 4 times) See all 4 of this type

    90
    If aˉ,bˉ,cˉ\bar{a}, \bar{b}, \bar{c} are vectors such that [aˉ bˉ cˉ]=3[\bar{a}\ \bar{b}\ \bar{c}] = 3, then [aˉ×bˉ  bˉ×cˉ  cˉ×aˉ]=[\bar{a} \times \bar{b}\ \ \bar{b} \times \bar{c}\ \ \bar{c} \times \bar{a}] =

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