PYQ Vault

Day 473: MHT-CET Maths

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

  1. Question 1

    Trigonometry - II. Asked once: 25 Apr 2025 S1

    102
    If secx+tan⁡x=2,0<x<π2secx+ \tan x= 2,0 <x<\frac{\pi}{2} then sin⁡x4=\sin\frac{x}{4}=

    Tap an option to check your answer.

  2. Question 2

    Vectors. Asked once: 12 May 2026 S1

    89
    If 4i^+7j^+8k^,2i^+3j^+4k^4\hat{i} + 7\hat{j} + 8\hat{k}, 2\hat{i} + 3\hat{j} + 4\hat{k} and 2i^+5j^+7k^2\hat{i} + 5\hat{j} + 7\hat{k} are the position vectors of the vertices A, B and C respectively of the triangle ABC, then the largest angle of the triangle is (are) ...

    Tap an option to check your answer.

  3. Question 3

    Applications of Definite Integral. Asked once: 2 May 2023 S1

    146
    The area of the region bounded by hyperbola x2−y2=9x^2 - y^2 = 9 and its latus rectum is

    Tap an option to check your answer.

  4. Question 4

    Applications of Derivative. Asked once: 18 Apr 2026 S1

    78
    If the side of an equilateral triangle increases at the rate of 3 cm/sec\sqrt{3}\ \mathrm{cm/sec}, then the rate of change of increase of its area when the side is 1212 cm is ____

    Tap an option to check your answer.

  5. Question 5

    Circle. Asked once: 9 May 2023 S1

    110
    The equation of the circle, the end points of whose diameter are the centres of the circles x2+y2+6x−14y+5=0x^2+y^2+6x-14y+5=0 and x2+y2−4x+10y−4=0x^2+y^2-4x+10y-4=0 is

    Tap an option to check your answer.