Home
Class 12
MATHS
A(-2, 2, 3) and B(13, -3, 13) and L is a...

`A(-2, 2, 3) and B(13, -3, 13)` and L is a line through A.
Q. 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^2+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

Similar Questions

Explore conceptually related problems

A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation of a line L, perpendicular to the line AB is

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

Let P and Q be the points on the line joining A(-2, 5) and B(3, 1) such that AP = PQ=QB . Then, the mid-point of PQ is

Let P and Q be points on the line joining A(-2, 5) and B(3, 1) such that AP = PQ = QB. If mid-point of PQ is (a, b), then the value of (b)/(a) is

The locus of the moving point P such that 2PA=3PB , where A is (0,0) and B is (4,-3), is

If A and B be the points (3, 4, 5) and (-1, 3, -7) respectively, find the equation of the set of points P such that PA^(2)+PB^(2)=k^(2) , where k is a constant.

P(0, 3, -2), Q(3, 7, -1) and R(1, -3, -1) are 3 given points. Let L_1 be the line passing through P and Q and L_2 be the line through R and Parallel to the vector V=hat(i)+hat(k) .the perpendicular distance of p from L1 and shortest distance between L1&L2 is.

If P be a point on the plane lx+my+nz=p and Q be a point on the OP such that OP. OQ=p^2 show that the locus of the point Q is p(lx+my+nz)=x^2+y^2+z^2 .

let P be the point (1, 0) and Q be a point on the locus y^2= 8x . The locus of the midpoint of PQ is

P(2, -1, 4) and Q (4, 3, 2) are given points. Find the prove which divides the line joining P and Q in the ratio 2 : 3. (i) Internally (ii) Externally (Using vector method).