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

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 distance of the point (3,4,5) from x-axis is (A) 3 (B) 5 (C) sqrt(34) (D) sqrt(41)

The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1,-1,4) with the plane 5x - 4y -z = 1 . If S is the foot of the perpendicular drawn from the point T(2,1,4) to QR, then the length of the line segment PS is (A) 1/sqrt2 (B) sqrt2 (C) 2 (D) 2sqrt2

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)

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)

Let the length of latus rectum of an ellipse with its major axis along x-axis and center at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of the minor axis , then which of the following points lies on it: (a) (4sqrt2, 2sqrt2) (b) (4sqrt3, 2sqrt2) (c) (4sqrt3, 2sqrt3) (d) (4sqrt2, 2sqrt3)

If the extremities of the diagonal fo a square are (1,-2,3) and (2,-3,5), then the length of the side is sqrt(6) b. sqrt(3) c. sqrt(5) d. sqrt(7)

The length of the straight line x-3y=1 intercepted by the hyperbola x^2-4y^2=1 is a. 6/(sqrt(5)) b. 3sqrt(2/5) c. 6sqrt(2/5) d. none of these

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a