Three Dimension...

The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a:

The radius of the sphere through the points ( 4 ,3 , 0 ) , ( 0 , 4 , 3 ) ,( 0 , 5 , 0 ) and ( 4 , 0 , 3 ) is

The direction ratios of normal to the plane through (1, 0, 0) and (0, 1, 0), which makes an angle  with the plane x + y = 3, are

If the direction cosines of a straight line are < k , k , k > , then what will be the value of k

The angle between the lines x = 1, y = 2 and y = 1, z = 0 is

the numbers 3, 4 , 5 can be

The equation of the line passing through (1, 2, 3) and parallel to the planes x - y + 2z = 5 and 3x + y + z = 6, is:

If a and b are two non-zero vectors, then the component of b along a is:

The cosine of the angle between any two diagonals of a cube

The shortest distance from the plane 12x + 4y + 3z = 327 to the sphere x² + y² + z² + 4x – 2y – 6z = 155 is:

The angle between the two diagonals of a cube is

_{In a triangle ABC, if D is the mid-point of side [BC], then find} .

If ABCDEF is a regular hexagon and , then is equal to

The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a:

The equation x² + 3y² - 9x + 2y + 1 = 0, represents

The point of intersection of the line  and plane 2x – y + 3z – 1 = 0 is

The distance between the planes ax + by + cz + d₁ = 0 and ax + by + cz + d₂ = 0 is

The equation of XOY plane is

The lines, which do not lie in the same plane, are called ?

If = 1 – cos  + i sin, then amp z =

The points ( 4,7 ,8) ,( 2, 3,4 ),( - 1 , -2 , 1 ) and (1 , 2, 5 ) are the vertices of a

The medians of a triangle are concurrent at the point called

The area of the triangle formed by the points (a, b + c), (b, c + a) and (c, a + b) is equal to

_{^{If I is the incentre of triangle ABC, thenis equal to}}

The equation xy = 0 in three dimensional space represents