The area of the triangle formed by the points `P(0,1), Q(0,5) and R(3,4)` is
(a) `16` sq. units (b) `8` sq. units (c) `4` sq. units (d) `6` sq. units

The area of the triangle formed by the lines 2x+3y=12 ,x-y-1=0 and x=0 (as shown in Figure), is 7sq. units (b) 7.5 sq. units (c) 6.5 sq. units (d) 6 sq. units

The area of the triangle formed by the line x=3,\ \ y=4 and x=y is (a) 1/2 sq. unit \ (b) 1 sq. unit (c) 2 sq. unit (d) None of these

Thangents are drawn from (-1, 0) to y^2 = 4x . Then the area of the triangle fromed by the tangents and the chord of the contact is : (A) 8 sq. units (B) 2 sq. units (C) 4 sq. units (D) 1 sq.units

Let A B C be a triangle of area 24sq. units and P Q R be the triangle formed by the mid-points of sides of A B Cdot Then the area of P Q R is 12 sq. units (b) 6 sq. units 4 sq. units (d) 3 sq. units

The area enclosed by 2|x|+3|y|lt=6 is (a)3 sq. units (b) 4 sq. units (c)12 sq. units (d) 24 sq. units

If area of the triangle formed by (0, 0), (a^(x^2), 0), (0, a^(6x)) is 1/(2a^5) sq. units then x=

The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A) 6 sq. units (B) 2 sq. units (C) 3 sq. units (D) 4 sq. units

Consider a rectangle ABCD formed by the points A=(0,0), B= (6, 0), C =(6, 4) and D =(0,4), P (x, y) is a moving interior point of the rectangle, moving in such a way that d (P, AB)le min {d (P, BC), d (P, CD) and d (P, AD)} here d (P, AB), d (P, BC), d (P, CD) and d (P, AD) represent the distance of the point P from the sides AB, BC, CD and AD respectively. Area of the region representing all possible positions of the point P is equal to (a) 8 sq. units (b) 4 sq. units (c) 12 sq. units (d) 6 sq. units

The area of a sector whose perimeter is four times its radius r units, is (a) (r^2)/4 sq. units (b) 2r^2 sq. units (c) r^2 sq. units (d) (r^2)/2 sq. units

A variable line x/a + y/b = 1 moves in such a way that the harmonic mean of a and b is 8. Then the least area of triangle made by the line with the coordinate axes is (1) 8 sq. unit (2) 16 sq. unit (3) 32 sq. unit (4) 64 sq. unit