Home
Class 12
MATHS
From the point P(a ,b ,c), let perpendic...

From the point `P(a ,b ,c),` let perpendicualars `P La n dP M` be drawn to `Y O Za n dZ O X` planes, respectively. Then the equation of the plane `O L M` is a. `x/a+y/b+z/c=0` b. `x/a+y/b-z/c=0` c. `x/a-y/b-z/c=0` d. `x/a-y/b+z/c=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

The x-y plane is rotated about its line of intersection with the y-z plane by 45^0 , then the equation of the new plane is/are a. z+x=0 b. z-y=0 c. x+y+z=0 d. z-x=0

Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to x-y ,y-za n dz-x planes, respectively.

If the foot of the perpendicular from the origin to plane is P(a ,b ,c) , the equation of the plane is a. x/a=y/b=z/c=3 b. a x+b y+c z=3 c. a x+b y+c z=a^(2)+b^2+c^2 d. a x+b y+c z=a+b+c

Find the equation of the plane containing the line (y)/(b)+(z)/(c)=1,x=0 , and parallel to the line (x)/(a)-(z)/(c)1,y=0 .

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n dx+y=z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

The plane which passes through the point (3,2,0) and the line (x-3)/1=(y-6)/5=(z-4)/4 is a. x-y+z=1 b. x+y+z=5 c. x+2y-z=1 d. 2x-y+z=5

In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0 are the equations of an altitude and an angle bisector, respectively, drawn from B , then the equation of B C is (a) a+y+1=0 (b) 5x+y+17=0 (c) 4x+9y+30=0 (d) x-5y-7=0

If in A B C , the distances of the vertices from the orthocentre are x, y, and z, then prove that a/x+b/y+c/z=(a b c)/(x y z)

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to x y z b. 0 c. 1 d. none of these

Let A(1,1,1),B(2,3,5)a n dC(-1,0,2) be three points, then equation of a plane parallel to the plane A B C which is at distance 2 is a. 2x-3y+z+2sqrt(14)=0 b. 2x-3y+z-sqrt(14)=0 c. 2x-3y+z+2=0 d. 2x-3y+z-2=0