Home
Class 12
MATHS
If the straight lines x=-1+s ,y=3-lambda...

If the straight lines `x=-1+s ,y=3-lambdas ,z=1+lambdasa n dx=t/2,y=1+t ,z=2-t ,` with paramerters `sa n dt ,` respectivley, are coplanar, then find `lambdadot`

Text Solution

Verified by Experts

The correct Answer is:
`-2`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx when x = t + 1/t, y = t - 1/t

If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (x+1)/(5)=(y+1)/(2)=(z)/(k) are coplanar, then the plane(s) containing these two lines is/are

Parametric equations a line are x=2-3t, y=-1+2t and z=3+t. write down the vector equations of the line.

The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n d(x-2)/1=(y-1)/(-3)=(z+3)/2dot Statement 1: the given lines are coplanar. Statement 2: The equations 2x_1-y_1=1,x_1+3y_1=4 a n d 3x-1+2y_1=5 are consistent.

Fill ups If the lines (x-1)/2=(y+2)/-3=(z-4)/lambda and x/1=y/-2=z/2 are t right angles then the value of lambda is……………

Show that the lines (x-1)/(2)=(y-3)/(4)=-z and (x-4)/(2)=(y-1)/(-2)=(z-1)/(1) are coplanar Also find the equation of the plane containing the lines.

Computing area with parametrically represented boundaries If the boundary of a figure is represented by parametric equations x = x (t) , y = y(t) , then the area of the figure is evaluated by one of the three formulae S = -underset(alpha)overset(beta)(int) y(t) x'(t) dt , S = underset(alpha) overset(beta) (int) x (t) y' (t) dt S = (1)/(2) underset(alpha)overset(beta)(int) (xy'-yx') dt where alpha and beta are the values of the parameter t corresponding respectively to the beginning and the end of traversal of the contour . The area enclosed by the astroid ((x)/(a))^((2)/(3)) + ((y)/(a))^((2)/(3)) = 1 is

Parametric equations of a line are x=-1+2t, y=3-4t and z=2+t. find the equations of the line in the symmetrical form.

Find the area of the region bounded by the curve x=a t^2,y=2a t between the ordinates corresponding t=1a n dt=2.

Show that the lines (x-1)/2=(y-3)/-1=(z)/-1 and (x-4)/3=(y-1)/-2=(z+1)/-1 are coplanar.