PYQ Vault
EbooksTutor

Day 194: JEE Mains Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked once: 29 Jan 2023 (same type asked 3 times) See all 3 of this type

    158
    The plane 2x−y+z=42x - y + z = 4 intersects the line segment joining the points A(a,−2,4)A(a, - 2,4) and B(2,b,−3)B(2,b, - 3) at the point CC in the ratio 2: 1 and the distance of the point CC from the origin is 5\sqrt{5}. If ab<0ab < 0 and PP is the point (a−b,b,2 b−a)(a - b,b,2\text{ }b - a) then CP2CP^{2} is equal to

    Tap an option to check your answer.

  2. Question 2

    Application of Integrals. Asked once: 29 Jun 2022 (same type asked 3 times) See all 3 of this type

    66
    The area enclosed by y2=8xy^{2}= 8x and y=2xy=\sqrt{2}x that lies outside the triangle formed by y=2x,x=y=\sqrt{2}x,x= 1,y=221,y= 2\sqrt{2}, is equal to:

    Tap an option to check your answer.

  3. Question 3

    Matrices. Asked once: 28 Jul 2022 (same type asked 3 times) See all 3 of this type

    153
    Let AA and BB be any two 3×33 \times 3 symmetric and skew symmetric matrices respectively. Then which of the following is NOT true?

    Tap an option to check your answer.

  4. Question 4

    Conic Sections. Asked once: 2021 Paper 20 (same type asked 3 times) See all 3 of this type

    88
    If the minimum area of the triangle formed by a tangent to the ellipse x2 b2+y24a2=1\frac{x^{2}}{{\text{ }b}^{2}}+\frac{y^{2}}{4a^{2}}= 1 and the co-ordinate axis is kabkab, then kk is equal to

  5. Question 5

    Straight Lines. Asked once: 27 Jul 2022 (same type asked 3 times) See all 3 of this type

    161
    The equations of the sides AB,BCAB,BC and CACA of a triangle ABCABC are 2x+y=0,x+py=392x + y = 0,x + py = 39 and x−y=3x - y = 3 respectively and P(2,3)P(2,3) is its circumcentre. Then which of the following is NOT true:

    Tap an option to check your answer.