Introduction to...

The area (in square units) of the quadrilateral formed by the two pairs of lines l²x²−m²y²−n(lx+my) = 0 and l²x²−m²y²+n(lx−my) = 0 is:

The maximum distance between points (3sin θ, 0, 0) and (4cos θ, 0, 0) is:

The line passing through the points (1, 2, -1) and (3, -1, 2) meets the yz-plane at which one of the following points?

The distance of the point \((1,-2,3)\) from the plane \(x-y+z=5\) measured parallel to the line \(\frac{x}{2}=\frac{y}{3}=\frac{z}{-6}\) is:

If the points (k, 4, 2), (6, 2, - 1) and (8, - 2, - 7) are collinear, then find the value of k.

The point \(P\) is on the \(y\)-axis. If \(P\) is equidistant from \((1,2,3)\) and \((2,3,4)\), then \(P _{y}=\)

If (h, k) are the perpendicular distances from (1, 2, 3) to the x-axis, z-axis respectively, then hk is:

Three planes x + y = 0, y + z = 0, and x + z = 0:

Find the locus of a point the sum of whose distance from (1,0,0) and (−1,0,0) is equal to 10.

The points on the y- axis which are at a distance of 3 units from the point (2, 3, -1) is: