The vertices of a quadrilateral in order are `(-2,3),(-3,-2) , (2,-1) and (x,y)` . If its area is 14 sq. units , then show that x + y = 2.

Three vertices of a quadrilateral in order are (6,1)(7,2)" and "(-1,0) . If the area of the quadrilateral is 4 sq. unit. Then the locus of the fourth vertex has the equation.

If the area bounded by y = x^(2) and x = y^(2) is (k)/(15) sq. units , then k is ____

If the area bounded by the curves x^(2)+y le 2 and y ge x is (k)/(2) sq. units, then 2k is equal to

Find the area of the quadrilateral formed by the lines y=2x+3 , y=0, x=4, x=6 .

The area bounded by y=(1)/(x) and y=(1)/(2x-1) from x = 1 to x = 2 is ln (a) sq. units, then 3a^(2) is equal to

If A(x, y), B (1, 2) and C (2, 1) are the vertices of a triangle of area 6 square units, show that x+y=15 or -9 .

If the area bounded by the curves y=ax^(2) and x=ay^(2)(a gt 0) is 3 sq. units, then the value of 'a' is

The vertices B and C of a DeltaABC lie on the line, (x+2)/(3)=(y-1)/(0)=(z)/(4) such that BC=5 units. Then, the area (in sq units) of this triangle, given that the point A(1, -1, 2) is

The area bounded by y+x^(2)le 4x and y ge3 is k sq. units, then 3k is equal to

The area (in sq. units) bounded by y=4x-x^2 and y=x is