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

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),quad B(2,3) and C(6,5) are the vertices of ABC, then the length of median through C is (a) 5 units (b) sqrt(10) units (c)25 units (d) 10 units

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

If the distance of the point (4,1) from the point (3,a) is sqrt(17) units,then the value of a is (a>0)

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 two points whose position vectors are 3hat i+hat j-2hat k and hat i-3hat j+5hat k is (a) 69units (b) sqrt(69) units (c) 13 units (d) 29 units

The area bounded by the curves y=|x|-1 and y=-|x|+1 is 1 sq.units (b) 2 sq.units 2sqrt(2) sq.units (d)4 sq.units

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

Area bounded between the curves y=sqrt(4-x^(2)) and y^2=3|x| in square units is

A rhombus is inscribed in the region common to the two circles x^2+y^2-4x-12=0 and x^2+y^2+4x-12=0 with two of its vertices on the line joining the centers of the circles. The are of the rhombus is (A) 8sqrt(3) sq.units (B) 4sqrt(3) sq.units (C) 6sqrt(3) sq.units (D) none of these