PYQ Vault
EbooksTutor

Day 250: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 16 Apr 2026 S2 (same type asked 2 times) See all 2 of this type

    55
    The line (2+k)x+(1+k)y=5+7k(2 + k)x + (1 + k)y = 5 + 7k passes through the fixed point for different values of k. If 'd' is the distance of a fixed point from the origin, then d2=…d^2 = \ldots

    Tap an option to check your answer.

  2. Question 2

    Probability Distribution. Asked once: 20 Apr 2025 S1 (same type asked 2 times) See all 2 of this type

    127
    If two numbers pp and qq are chosen randomly from the set {1,2,3,4}\mathbf{\{ 1,2,3,4\}}, one by one, with replacement, then the probability of getting p2≥4qp^{2}\geq 4q is

    Tap an option to check your answer.

  3. Question 3

    Straight Line. Asked once: 15 Apr 2026 S1 (same type asked 2 times) See all 2 of this type

    56
    If a triangle ABCABC has vertices A(1,−6),B(2,−3)A(1,-6), B(2,-3) and C(3,−2)C(3,-2), then the coordinates of its orthocenter are....

    Tap an option to check your answer.

  4. Question 4

    Applications of Derivative. Asked once: 9 May 2024 S2 (same type asked 2 times) See all 2 of this type

    104
    If slope of a tangent to the curve xy+ax+by=0xy + ax + by = 0 at the point (1,1)(1,1) on it is 2, then a−ba - b is

    Tap an option to check your answer.

  5. Question 5

    Vectors. Asked once: 19 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    138
    If a‾,b‾,c‾\overline{a},\overline{b},\overline{c} are three vectors such that a‾∣=3\overline{a}\mid = 3, ∣b‾∣=5,∣c‾∣=7|\overline{b}| = 5,|\overline{c}| = 7 then ∣a‾−b‾∣2+∣b‾−c‾∣2+∣c‾−a‾∣2|\overline{a}-\overline{b}|^{2}+ |\overline{b}-\overline{c}|^{2}+ |\overline{c}-\overline{a}|^{2} does not exceed

    Tap an option to check your answer.