The length of the perpendicular drawn from the point `P(a , b , c)` from z-axis is `sqrt(a^2+b^2)` b. `sqrt(b^2+c^2)` c. `sqrt(a^2+c^2)` d. `sqrt(a^2+b^2+c^2)`

The length of the perpendicular drawn from the point P(a , b , c) from z-axis is a. sqrt(a^2+b^2) b. sqrt(b^2+c^2) c. sqrt(a^2+c^2) d. sqrt(a^2+b^2+c^2)

The length of the perpendicular drawn from the point P(3,4,5) on y-axis is a. 3sqrt(2) b. 5 c. sqrt(113) d. 5sqrt(2) e. sqrt34

The perpendicular distance of the point P(3,3,4) from the x-axis is 3sqrt(2) b. 5 c. 3 d. 4

A plane passes through a fixed point (a ,b ,c)dot The locus of the foot of the perpendicular to it from the origin is a sphere of radius a. 1/2sqrt(a^2+b^2+c^2) b. sqrt(a^2+b^2+c^2) c. a^2+b^2+c^2 d. 1/2(a^2+b^2+c^2)

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),0) and (-sqrt(a^2-b^2),0) to the line x/a costheta + y/b sintheta=1 is b^2 .

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),0) and (-sqrt(a^2-b^2),0) to the line x/a costheta + y/b sintheta=1 is b^2 .

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),""""0) and (-sqrt(a^2-b^2),""""0) to the line x/a costheta + y/b sintheta=1 is b^2 .

(a) a^2+b^2 (b) a+b (c) a^2-b^2 (d) sqrt(a^2+b^2)

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is (a) 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)

The radius of the circle passing through the points (1, 2), (5, 2) and (5, -2) is : (A) 5sqrt(2) (B) 2sqrt(5) (C) 3sqrt(2) (D) 2sqrt(2)