In the given figure, PA, QB, and RC each is perpendicular to AC such that PA = x, RC = y, QB = z, AB = a, and BC = b. Prove that `1/x+1/y=1/z`.

The equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of the triangles on the other two sides. OR In the given figure, PA, QB and RC are each perpendicular to AC. Prove that 1/x+1/z=1/y

In the given figure, if x + y = w + z, then prove that AOB is a line.

In the given figure AB || CD, BC || DE then find the values of x and y

Equation of the line passing through (1, 1,1) and perpendicular to 2x + 3y + z = 5 is:

The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular to each other if :

In the adjacent figure AB || CD. Find the values of x, y and z.

In the adjacent figure AB || CD. Find the value of x, y and z.

In the given figure three lines bar(AB) , bar(CD) and bar(EF) intersecting at O. Find the values of x, y and z it is being given that x : y : z = 2 : 3 : 5

A plane passes through (1, - 2, 1) and is perpendicular to the planes 2x - 2y +z = 0 and x-y + 2z = 4. The distance of the plane from the point (1, 2, 2) is:

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+ 2y+3z-7=0 and 2x-3 y+4 z=0 is