PYQ Vault
EbooksTutor

Day 480: MHT-CET Maths

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

  1. Question 1

    Trigonometry - II. Asked once: 23 Apr 2025 S1

    111
    If sin⁡A+sin⁡B=x\sin A + \sin B =x and cos⁡A+cos⁡B=y\cos A + \cos B =y, then sin⁡(A+B)=\sin(A + B) =

    Tap an option to check your answer.

  2. Question 2

    Vectors. Asked once: 12 May 2026 S1

    92
    If aˉ,bˉ\bar{a}, \bar{b} and cˉ\bar{c} are three non-coplanar vectors and λ\lambda is a real number such that [λ(aˉ+bˉ)  λ2bˉ  λcˉ]=[aˉ  bˉ+cˉ  bˉ][\lambda(\bar{a} + \bar{b})\ \ \lambda^2\bar{b}\ \ \lambda\bar{c}] = [\bar{a}\ \ \bar{b} + \bar{c}\ \ \bar{b}], then there is (are) ...

    Tap an option to check your answer.

  3. Question 3

    Applications of Derivative. Asked once: 15 Apr 2026 S2

    76
    The point on the curve 9y2=x39y^2 = x^3 where the normal to the curve makes equal intercepts with the co-ordinate axes is

    Tap an option to check your answer.

  4. Question 4

    Circle. Asked once: 2 May 2023 S1

    130
    If (mi,1mi)\left(m_i, \dfrac{1}{m_i}\right), mi>0m_i > 0, i=1,2,3,4i = 1, 2, 3, 4 are four distinct points on a circle, then the product m1m2m3m4m_1 m_2 m_3 m_4 is equal to

    Tap an option to check your answer.

  5. Question 5

    Conic Sections. Asked once: 25 Apr 2025 S2

    147
    The eccentricity of the hyperbola which passes through the points (3,0)(3,0) and (32,2)(3\sqrt{2},2) is

    Tap an option to check your answer.