Home
Class 12
MATHS
A straight line is given by r=(1+t)i+3tj...

A straight line is given by `r=(1+t)i+3tj+(1-t)k`, where `tinR`. If this line lies in th plane `x+y+cz=d`, then the value of `(c+d)` is

A

`-1`

B

`1`

C

`7`

D

`9`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Similar Questions

Explore conceptually related problems

The speed(v) of a particle moving along a straight line is given by v=(t^(2)+3t-4 where v is in m/s and t in seconds. Find time t at which the particle will momentarily come to rest.

Position of a particle moving along straight line is given by x(t)=(A)/(B)(1-e^(-At)) , where B is constant and Agt0 . Dimension of (A^(3))/(B) is similar to :-

A car moves along a straight line whose equation of motion is given by s=12t+3t^(2)-2t^(3) where s is in metres and t is in seconds. The velocity of the car at start will be :-

The position of a particle moving along a. straight line is given by x = 2 - 5t + t ^(3) The acceleration of the particle at t = 2 sec. is ...... Here x is in meter.

Points P divides the join of the points A(3,-5) and B(-4,8) in the ratio k : 1. If point P lies on the line x + y = 0 , find the value of k.

If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x-4y+z=7 , the value of k is

The line segment joining the points P(3,3) and Q(6,-6) is trisected by the points A and B such that A is nearer to p. If A also lies on the line given by 2x + y + k = 0 , find the value of k.

A point A is on the line vec r = (1- 3mu ) hat i + (mu - 1) hat j + (2 + 5 mu ) hat k. B(3,2,6) is a point of the plane . If the vector bar(AB) is parallel to the plane x-4y+3z = 1 then the value of mu is ............

The motion of a particle along a straight line is described by equation : x = 8 + 12 t - t^3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is.

The plane denoted by P_1 : 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with plane P_2 : 5x+3y+10z=25 . If the plane in its new position be denoted by P, and the distance of this plane from the origin is d, then the value of [(d)/(2)] (where[.] represents greatest integer less than or equal to k) is....