PYQ Vault
EbooksTutor

Day 468: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 18 Apr 2026 S1

    94
    If the plane rˉ=(λ+μ)i^+(2+μ)j^+(3λ+2μ)k^\bar{r} = (\lambda + \mu)\hat{i} + (2 + \mu)\hat{j} + (3\lambda + 2\mu)\hat{k}, where λ\lambda and μ\mu are parameters, intersects coordinate axes at points (a,0,0),(0,b,0)(a, 0, 0), (0, b, 0) and (0,0,c)(0, 0, c) then a+b+c=a + b + c =...

    Tap an option to check your answer.

  2. Question 2

    Pair of Straight Lines. Asked once: 2 May 2023 S2

    124
    If the equation 7x2−14xy+py2−12x+qy−4=07x^2-14xy+py^2-12x+qy-4=0 represents a pair of parallel lines, then the value of p2+q2−pqp^2+q^2-pq is

    Tap an option to check your answer.

  3. Question 3

    Permutations and Combinations. Asked once: 20 Apr 2025 S2

    142
    44 red balls and 5 green balls are selected from nn balls. If the sum of both the selections is greater than  n+1C4\ ^{n+ 1}C_{4} then the value of nn is equal to

    Tap an option to check your answer.

  4. Question 4

    Probability Distribution. Asked once: 16 Apr 2026 S1

    96
    A fair die is thrown at random. Let A be the event that the number obtained on the die is a non-even prime number and B be the event that the number obtained on the die is an odd number. Let p:P(A)=13p : P(A) = \dfrac{1}{3}, qq : A and B are independent events. Then the truth values of statements pp and qq respectively are.....

    Tap an option to check your answer.

  5. Question 5

    Sets, Relations and Functions. Asked once: 22 Apr 2025 S2

    113
    The values of bb and cc for which the identity f(x+1)−f(x)=8x+3f(x + 1) - f(x) = 8x + 3 is satisfied, where f(x)=bx2+cx+df(x) = bx^{2}+ cx + d, are

    Tap an option to check your answer.