How many lines through the origin make equal angles with the coordinate axes? (A) 1 (B) 4 (C) 8 (D) 2

Write a unit vector making equal acute angle with the coordinates axes.

A line with positive direction cosines passes through the point P(2, – 1, 2) and makes equal angles with the coordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ equals

A line with positive direction cosines passes through the point P(2, – 1, 2) and makes equal angles with the coordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ equals

Find the direction cosines of a line which makes equal angles with the coordinate axes.

At what point on the parabola y^2=4x the normal makes equal angle with the axes? (A) (4,4) (B) (9,6) (C) (4,-4) (D) (1,+-2)

The measure of the angle between the coordinate axes is (a) 0^@ (b) 90^@ (c) 180^@ (d) 360^@

Let vec n be a vector of magnitude 2sqrt(3) such that it makes equal acute angles with the coordinate axes. Find the vector and Cartesian forms of the equation of a plane passing through (1,-1,2) and normal to vec ndot

If (a,1/a) and (b,1/b) be the extremities of a chord on the hyperbola xy = 1, then line perpendicular to this chord will be equally inclined to the coordinate axes for (A) a^2=b^2 (B) a^2b^2=1 (C) (a+b)^2=1 (D) none of these

The point on the curve 6y=4x^(3)-3x^(2) , the tangent at which makes an equal angle with the coordinate axes is

Two sides of a triangle are parallel to the coordinate axes. If the slopes of the medians through the acute angles of the triangle are 2 and m , then m is (a) 1/2 (b) 2 (c) 4 (d) 8