the distance between the points (3,`-2`) and (`-3`,2) is
a) `sqrt(52)` units
b) `4sqrt(10)` units
c) `2sqrt(10)` units
d) `sqrt(40)` units

the distance between the points (3, -2 ) and ( -3 ,2) is a) sqrt(52) units b) 4sqrt(10) units c) 2sqrt(10) units d) 40 units

Distance between the points (2,5,3) and (4,3,1) is _____ units

A parallelopiped is formed by planes drawn through the points (1,2,3) and (9,8,5) parallel to the coordinate planes. The length of its diagonal is (A) 2sqrt(14) units (B) 2sqrt(26) units (C) 6sqrt(3) units (D) 2sqrt(21) units

If A(4,\ 9),\ \ B(2,\ 3) and C(6,\ 5) are the vertices of triangle A B C , then the length of median through C is (a) 5 units (b) sqrt(10) units (c) 25 units (d) 10 units

The distance of the point (4,5,6) from the XZ plane is (a)2 units (b)3 units (c)4 units (d)5 units

If area of a circle inscribed in an equilateral triangle is 48pi square units, then perimeter of the triangle is (a) 17sqrt(3) units (b) 36 units (c) 72 units (d) 48sqrt(3) units

Distance between the two planes: 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is(A) 2 units (B) 4 units (C) 8 units (D) 2/(sqrt(29)) units

The shortest distance between line y-x=1 and curve x=y^2 is (a) (3sqrt2)/8 (b) 8/(3sqrt2) (c) 4/sqrt3 (d) sqrt3/4

The rate of change of volume of a sphere is equal to the rate of change of its radius, then its radius is equal to (a) 1 unit (b) sqrt2pi units (c) 1//sqrt2pi unit (d) 1//2sqrtpi unit

If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,B, and C , then find the area of the triangle A B C . a. 18 sq unit b. 36 sq unit c. 3sqrt(14) sq unit d. 2sqrt(14) sq unit