PYQ Vault
EbooksTutor

Day 243: JEE Mains Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 28 Jul 2022 (same type asked 6 times) See all 6 of this type

    62
    Considering only the principal values of the inverse trigonometric functions, the domain of the function f(x)=cos⁡−1(x2−4x+2x2+3)f(x) =\cos^{- 1}\left( \frac{x^{2}- 4x + 2}{x^{2}+ 3} \right) is :

    Tap an option to check your answer.

  2. Question 2

    Relations and Functions. Asked once: 4 Apr 2024 (same type asked 6 times) See all 6 of this type

    154
    Let a relation RR on N×NN \times N be defined as: (x1,y1)R(x2,y2)\left( x_{1},y_{1} \right)R\left( x_{2},y_{2} \right) if and only if x1≤x2x_{1}\leq x_{2} or y1≤y2y_{1}\leq y_{2} Consider the two statements: (I) RR is reflexive but not symmetric. (II) RR is transitive Then which one of the following is true?

    Tap an option to check your answer.

  3. Question 3

    Differential Equations. Asked once: 27 Jun 2022 (same type asked 6 times) See all 6 of this type

    160
    If the solution curve of the differential equation ((tan⁡−1y)−x)dy=(1+y2)dx\left( \left( \tan^{- 1}y \right)- x \right)dy =\left( 1 +y^{2} \right)dx passes through the point (1,0)(1,0) then the abscissa of the point on the curve whose ordinate is tan⁡(1)\tan(1) is:

    Tap an option to check your answer.

  4. Question 4

    Definite Integration. Asked once: 30 Jan 2023 (same type asked 6 times) See all 6 of this type

    163
    lim⁡n→∞3n{4+(2+1n)2+(2+2n)2+⋯+(3−1n)2}\lim_{n \rightarrow \infty} \frac{3}{n}\left\{ 4 +\left( 2 +\frac{1}{n} \right)^{2}+\left( 2 +\frac{2}{n} \right)^{2}+ \cdots +\left( 3 -\frac{1}{n} \right)^{2} \right\} is equal to

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked once: 29 Jul 2022 (same type asked 6 times) See all 6 of this type

    67
    Let the solution curve y=y(x)y = y(x) of the differential equation (1+e2x)(dydx+y)=1\left( 1 +e^{2x} \right)\left( \frac{dy}{dx}+ y \right)= 1 pass through the point (0,π2)\left( 0,\frac{\pi}{2} \right). Then, lim⁡x→∞exy(x)\lim_{x \rightarrow \infty} e^{x}y(x) is equal to:

    Tap an option to check your answer.