Home
Class 12
MATHS
If three points A,B and C have position ...

If three points A,B and C have position vectors (1,x,3),(3,4,7) and (y,-2,-5), respectively and if they are collinear, then find (x,y). a) 2 , − 3 b) − 2 , 3 c) 2 , 3 d) − 2 , − 3

A

`2,-3`

B

`-2,3`

C

`2,3`

D

`-2,-3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If the points A,B,C and D have position vectors bara,2bara+barb,4bara+2barb and 5 bara+4barb respectively, then three collinear points are: a)A , B , D b)A , B , C c)B , C , D d)A , C , D

If the point (a,2,3),(3,b,7)and(-3,-2,-5) are collinear, the values of a and b respectively are

If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then the angel between AB and CD, is

If the points (2,a,-1),(3,4,b)and(1,-2,3) are collinear, the values of a and b are: a) -2,-5 b) 10,5 c) 1,-5 d) 2,5

Determine whether the points are collinear.(i)A(1,-3), B(2,-5) and C(-4,7)

If points P( 4,5,x), Q(3,y,4) and R(5,8,0) are collinear, then the value of x + y is: a)-4 b)3 c)5 d)4

If the points (k ,\ 2k),\ (3k ,\ 3k) and (3,\ 1) are collinear, then k (a) 1/3 (b) -1/3 (c) 2/3 (d) -2/3

If the line through the points (3,1,2) and (4,lambda,0) is parallel to the line through the points (1,2,1) and (2,3,-1) , find lambda . a)1 b)2 c)3 d)4

Find the point on the parabola y=(x-3)^2, where the tangent is parallel to the line joining (3,0) and (4,1). a) (5/2,1/4) b) (5/2,3/4) c) (7/2,1/4) d) (1/2,1/4)

Find the type of the quadrilateral, if point A(-4,-2),B(-3,-7),C(3,-2) and D(2,3) are joined serially.