If `A(1,p^2),B(0,1)` and `C(p ,0)` are the coordinates of three points, then the value of `p` for which the area of triangle `A B C` is the minimum is `1/(sqrt(3))` (b) `-1/(sqrt(3))` `1/(sqrt(2))` (d) none of these

If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, then the value of p for which the area of triangle A B C is the minimum is (a) 1/(sqrt(3)) (b) -1/(sqrt(3)) (c) 1/(sqrt(2)) (d) none of these

If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, then the value of p for which the area of triangle A B C is the minimum is (a) 1/(sqrt(3)) (b) -1/(sqrt(3)) (c) 1/(sqrt(2)) (d) none of these

If A(1,p^(2)),B(0,1) and C(p,0) are the coordinates of three points,then the value of p for which the area of triangle ABC is the minimum is (1)/(sqrt(3))( b) -(1)/(sqrt(3))(1)/(sqrt(2)) (d) none of these

If A(1,p^(2)),B(0,1) and C(p,0) are the coordinates of three points then area of the triangle ABC is 1/(lamda)|p^(3)-p+1| . The value of lamda is

If A(1,p^(2)),B(0,1) and C(p,0) are the coordinates of three points then area of the triangle ABC is 1/(lamda)|p^(3)-p+1| . The value of lamda is

The value of lim_(x rarr2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2) is (1)/(8sqrt(3))(b)(1)/(4sqrt(3)) (c) 0 (d) none of these

In A B C , the coordinates of B are (0,0),A B=2,/_A B C=pi/3, and the middle point of B C has coordinates (2,0)dot The centroid o the triangle is (1/2,(sqrt(3))/2) (b) (5/3,1/(sqrt(3))) (4+(sqrt(3))/3,1/3) (d) none of these

The value of ("lim")_(xto2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these