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Day 253: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 11 May 2024 S1 (same type asked 2 times) See all 2 of this type

    145
    a and b are the intercepts made by a line on the coordinate axes. If 3a=b3a = b and the line passes through (1,3)(1,3), then the equation of the line is

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  2. Question 2

    Vectors. Asked once: 13 Apr 2026 S1 (same type asked 2 times) See all 2 of this type

    89
    If a parallelogram is constructed on the vectors aˉ=3pˉ−qˉ,bˉ=pˉ+3qˉ\bar{a} = 3\bar{p} - \bar{q}, \bar{b} = \bar{p} + 3\bar{q} and ∣pˉ∣=3,∣qˉ∣=2|\bar{p}| = 3, |\bar{q}| = 2 and angle between pˉ\bar{p} and qˉ\bar{q} is π3\dfrac{\pi}{3}, then the ratio of the lengths of adjacent sides aˉ\bar{a} and bˉ\bar{b} of the parallelogram is

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  3. Question 3

    Circle. Asked once: 11 Apr 2026 S2 (same type asked 2 times) See all 2 of this type

    59
    If the equation 3x2+(3−p)xy+qy2−2px=8pq3x^2 + (3 - p)xy + qy^2 - 2px = 8pq represents a circle, then the area (in sq. units) of this circle is

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  4. Question 4

    Probability Distribution. Asked once: 22 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    148
    Four defective oranges are accidentally mixed with sixteen good ones. Three oranges are drawn from the mixed lot. The probability distribution of defective oranges is

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  5. Question 5

    Applications of Derivative. Asked once: 23 Apr 2025 S1 (same type asked 2 times) See all 2 of this type

    133
    A particle moves along a curve y=2x3−13y=\frac{2x^{3}- 1}{3}. The points on the curve at which the yy co-ordinate is changing 18 times the xx co-ordinate are

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