Home
Class 12
MATHS
A (-2, 2, 3) and B(13, -3, 13) are the p...

A (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A.
A point P moves in the space such that `3PA=2PB`, then the locus of P is-

A

`x^(2)+y^(2)+z^(2)+28x-12y+10z-247=0`

B

`x^(2)+y+z^(2)-28x+12y+10z-247=0`

C

`x^(2)+y^(2)+z^(2)+28x-12y-10z+247=0`

D

`x^(2)+y^(2)+z^(2)-28x+12y-10z+247=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Integer answer Type|5 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

Similar Questions

Explore conceptually related problems

A (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A. Coordinates of the point P which divides the join of A and B in the ratio 2 : 3 internally are-

A (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A. Direction ratios of the normal to the plane passing through the origin and the points A and B are-

A and B are two fixed points on a plane and P moves on the plane in such a way that PA : PB = constant. Prove analytically that the locus of P is a circle.

A(3, 0) and B(-3, 0) are two given points and P is a moving point : if bar(AP) = 2bar(BP) for all positions of P, show that the locus of P is a circle. Find the radius of the circle.

S(sqrt(a^(2)-b^(2)),0)andS'(-sqrt(a^(2)-b^(2)),0) are two given points and P is a moving point in the xy - plane such that SP+S'P=2a . Find the equation to the locus of P.

A(1,2)and B(5,-2)are two points. P is a point moving in such a way that the area of the /_\ABP is 12 sq.units.Find the locus of P.

If P be any point on the plane lx+my+nz=p and Q be a point on the line OP such that OP.OQ=p^(2) , then find the locus of the point Q.

A point P which represents a complex number z, moves such that |z-z_(1)|= |z-z_(2)|, then the locus of P is-

Consider the point A(3,4)and B(7,13).If be a point on the line y=x,such that |PA+PB| is minimum, then co-ordinate of P is

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0