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Day 221: JEE Mains Maths

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

  1. Question 1

    Conic Sections. Asked once: 25 Jun 2022 (same type asked 2 times) See all 2 of this type

    84
    Let the abscissae of the two points PP and QQ be the roots of 2x2−rx+p=02x^{2}- rx + p = 0 and the ordinates of PP and QQ be the roots of x2−sx−q=0x^{2}- sx - q = 0. If the equation of the circle described on PQPQ as diameter is 2(x2+y2)−11x−14y−22=02\left( x^{2}+y^{2} \right)- 11x - 14y - 22 = 0, then 2r+s−2q+p2r + s - 2q + p is equal to

  2. Question 2

    Relations and Functions. Asked once: 25 Jul 2022 (same type asked 2 times) See all 2 of this type

    171
    Let A={1,2,3,4,5,6,7}A=\{1,2,3,4,5,6,7\}. Define B={T⊆A:B=\{T\subseteq A: either 1∉T1\notin T or 2∈T}2\in T\} and C={T⊆A:C=\{T\subseteq A: the sum of all the elements of TT is a prime number}\}. Then the number of elements in the set B∪CB \cup C is

  3. Question 3

    Conic Sections. Asked once: 14 Jun 2022 (same type asked 2 times) See all 2 of this type

    65
    Let x2+y2+Ax+By+C=0x^{2}+y^{2}+Ax+By+C= 0 be a circle passing through (0,6)(0,6) and touching the parabola y=x2y=x^{2} at (2,4)(2,4). Then A+CA + C is equal to

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  4. Question 4

    Trigonometric Equations. Asked once: 2021 Paper 9 (same type asked 2 times) See all 2 of this type

    90
    The number of solutions of the equation ∣cot⁡x∣=cot⁡x+1sin⁡x|\cot x| = \cot x+\frac{1}{\sin x} in the interval [0,2π]\lbrack 0,2\pi\rbrack is

  5. Question 5

    Matrices. Asked once: 25 Jun 2022 (same type asked 2 times) See all 2 of this type

    71
    Let A=[0−220]A =\begin{bmatrix} 0 & - 2 \\ 2 & 0 \end{bmatrix}. If MM and NN are two matrices given by M=∑k=110A2kM=\sum_{k= 1}^{10} A^{2k} and N=∑k=110A2k−1N=\sum_{k= 1}^{10} A^{2k- 1} then MN2MN^{2} is

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