PYQ Vault
EbooksTutor

Day 650: JEE Mains Maths

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

  1. Question 1

    Conic Sections. Asked once: 2021 Paper 9

    72
    For the four circles M,N,OM,N,O and PP, following four equations are given: Circle M:x2+y2=1M:x^{2}+y^{2}= 1 Circle N:x2+y2−2x=0N:x^{2}+y^{2}- 2x = 0 Circle O:x2+y2−2x−2y+1=0O:x^{2}+y^{2}- 2x- 2y+ 1 = 0 Circle P:x2+y2−2y=0P:x^{2}+y^{2}- 2y= 0 If the centre of circle MM is joined with centre of the circle NN, further centre of circle NN is joined with centre of the circle OO, centre of circle OO is joined with the centre of circle PP and lastly, centre of circle PP is joined with centre of circle MM, then these lines form the sides of a:

    Tap an option to check your answer.

  2. Question 2

    Conic Sections. Asked once: 2021 Paper 9

    89
    A square ABCDABCD has all its vertices on the curve x2y2=1x^{2}y^{2}= 1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCDABCD is

  3. Question 3

    Conic Sections. Asked once: 2021 Paper 8

    78
    Let the tangent to the circle x2+y2=25x^{2}+y^{2}= 25 at the point R(3,4)R(3,4) meet xx-axis and yy-axis at point PP and QQ, respectively. If rr is the radius of the circle passing through the origin OO and having centre at the incentre of the triangle OPQ, then r2r^{2} is equal to

    Tap an option to check your answer.

  4. Question 4

    Conic Sections. Asked once: 2021 Paper 7

    88
    The minimum distance between any two points P1P_{1} and P2P_{2} while considering point P1P_{1} on one circle and point P2P_{2} on the other circle for the given circles' equations
    x2+y2−10x−10y+41=0x^{2}+y^{2}- 10x - 10y + 41 = 0
    x2+y2−24x−10y+160=0x^{2}+y^{2}- 24x - 10y + 160 = 0 is

  5. Question 5

    Conic Sections. Asked once: 2021 Paper 6

    66
    Let CC be the locus of the mirror image of a point on the parabola y2=4xy^{2}= 4x with respect to the line y=xy=x. Then the equation of tangent to CC at P(2,1)P(2,1) is:

    Tap an option to check your answer.