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Day 336: JEE Mains Maths

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

  1. Question 1

    Matrices. Asked once: 4 Apr 2024 (same type asked 9 times) See all 9 of this type

    156
    Let A=[1201]A =\begin{bmatrix} 1 & 2 \\ 0 & 1 \end{bmatrix} and B=I+adj(A)+(adjA)2+…+B = I + adj(A) + (adjA)^{2}+ \ldots + (adjA)10(adjA)^{10}. Then, the sum of all the elements of the matrix B is:

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  2. Question 2

    Application of Integrals. Asked once: 8 Apr 2023 (same type asked 9 times) See all 9 of this type

    77
    The area of the region {(x,y):x2≤y≤8−x2,y≤7}\left\{ (x,y):x^{2}\leq y \leq 8 -x^{2},y \leq 7 \right\} is

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  3. Question 3

    Three Dimensional Geometry. Asked once: 3 Apr 2025 (same type asked 9 times) See all 9 of this type

    144
    The distance of the point (7,10,11)(7,10,11) from the line x−41=y−40=z−23\frac{x- 4}{1}=\frac{y- 4}{0}=\frac{z- 2}{3} along the line x−92=y−133=z−176\frac{x- 9}{2}=\frac{y- 13}{3}=\frac{z- 17}{6} is.

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  4. Question 4

    Three Dimensional Geometry. Asked once: 6 Apr 2024 (same type asked 9 times) See all 9 of this type

    89
    Let PP be the point (10,−2,−1)(10, - 2, - 1) and QQ be the foot of the perpendicular drawn from the point R(1,7,6)R(1,7,6) on the line passing through the points (2,−5,11)(2, - 5,11) and (−6,7,−5)( - 6,7, - 5). Then the length of the line segment PQPQ is equal to

  5. Question 5

    Relations and Functions. Asked once: 3 Apr 2025 (same type asked 9 times) See all 9 of this type

    131
    Let A={−2,−1,0,1,2,3}A=\left\{ - 2, - 1,0,1,2,3 \right\}. let RR be a relation on A defined by xRyxRy if and only if y=max{x,1}y\mathbf{= max\{}x,1\}. Let ll be the number of elements in R . Let m and n be the minimum number of elements required to be added in RR to make it reflexive and symmetric relations, respectively. Then l+m+nl+ m + n is equal to.

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