The line `x/6+y/8=1` cuts the co-ordinate axis at `A\ &\ B` . If `O` is origin, then `prodsinA/2` for the triangle `O A B` is `5/6` (b) `1/(10)` (c) `5/4` (d) none of these

The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B, C : then the area of the DeltaABC is

If the graph of the equation 4x+3y=12 cuts the coordinate axes at A\ a n d\ B , then hypotenuse of right triangle A O B length is ? (a) 4 units (b) 3 units (c) 5 units (d) none of these

P is a point on the line y+2x=1, and Qa n dR two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

P is a point on the line y+2x=1, and Q and R are two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

The line 6x+8y=48 intersects the coordinates axes at A and B, respecively. A line L bisects the area and the perimeter of triangle OAB, where O is the origin. The number of such lines possible is a. 1 b. 2 c. 3 d. 4

If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal to 0 (b) -1/(14) (c) -1/4 (d) None of these

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at A and B , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these

The correct fraction in the box (\ ) is (\ ) - 5/8 = 1/4 (a) 6/8 (b) 7/8 (c) 1/2 (d) None of these

If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal to (a)0 (b) 1/(14) (c) -1/4 (d) None of these

The equation of the base of an equilateral triangle A B C is x+y=2 and the vertex is (2,-1) . The area of the triangle A B C is: (sqrt(2))/6 (b) (sqrt(3))/6 (c) (sqrt(3))/8 (d) None of these