PYQ Vault
EbooksTutor

Day 183: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 22 Jan 2025 (same type asked 3 times) See all 3 of this type

    51
    The number of non-empty equivalence relations on the set {1,2,3}\mathbf{\{ 1,2,3\}} is :

    Tap an option to check your answer.

  2. Question 2

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

    52
    Let a line passing through the point (4,1,0)(4,1,0) intersect the line L1;x−12=y−23=z−34L_{1};\frac{x- 1}{2}=\frac{y- 2}{3}=\frac{z- 3}{4} at the point A (α,β,γ)(\alpha,\beta,\gamma) and the line L2:x−6=y=−z+4L_{2}:x- 6 =y= -z+ 4 at the point B(a,b,c)B(a,b,c). Then ∣101αβγabc∣\left| \begin{matrix} 1 & 0 & 1 \\ \alpha & \beta & \gamma \\ a & b & c \end{matrix} \right| is equal to

    Tap an option to check your answer.

  3. Question 3

    Application of Integrals. Asked once: 3 Apr 2025 (same type asked 3 times) See all 3 of this type

    136
    The area of the region {(x,y):∣x−y∣≤y≤4x}\{(x,y):|x-y| \leq y\leq 4\sqrt{x}\} is.

    Tap an option to check your answer.

  4. Question 4

    Binomial Theorem. Asked once: 27 Jan 2024 (same type asked 3 times) See all 3 of this type

    65
    If A denotes the sum of all the coefficients in the expansion of (1−3x+10x2)n\left( 1 - 3x + 10x^{2} \right)^{n} and BB denotes the sum of all the coefficients in the expansion of (1+x2)n\left( 1 +x^{2} \right)^{n}, then :

    Tap an option to check your answer.

  5. Question 5

    Straight Lines. Asked once: 13 Apr 2023 (same type asked 3 times) See all 3 of this type

    156
    Let (α,β)(\alpha,\beta) be the centroid of the triangle formed by the lines 15x−y=82,6x−5y=−415x - y = 82,6x - 5y = - 4 and 9x+4y=179x + 4y = 17. Then α+2β\alpha + 2\beta and 2α−β2\alpha - \beta are the roots of the equation

    Tap an option to check your answer.