IF the lengths of the side of triangle are `3,5A N D7,` then the largest angle of the triangle is `pi/2` (b) `(5pi)/6` (c) `(2pi)/3` (d) `(3pi)/4`

If the middle points of the sides of a triangle are (-2,3),(4,-3),a n d(4,5) , then find the centroid of the triangle.

Two medians drawn from the acute angles of a right angled triangle intersect at an angle pi/6. If the length of the hypotenuse of the triangle is 3 units, then the area of the triangle (in sq. units) is (a) sqrt3 (b) 3 (c) sqrt2 (d) 9

The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the center is 2. Then the eccentric angle of the point is pi/4 (b) (3pi)/4 (c) (5pi)/6 (d) pi/6

In a right angled triangle the hypotenuse is 2sqrt(2) times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are (a) pi/3a n dpi/6 (b) pi/8a n d(3pi)/8 (c) pi/4a n dpi/4 (d) pi/5a n d(3pi)/(10)

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is pi/2 (b) pi/3 (c) pi (d) pi/4

If (costheta+cos2theta)^3=cos^3theta+cos^3 2theta, then the least positive value of theta is equal to pi/6 (b) pi/4 (c) pi/3 (d) pi/2

If (sqrt(3))b x+a y=2a b touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then the eccentric angle of the point of contact is (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

Given both thetaa n dphi are acute angles and sintheta=1/2,cosvarphi=1/3, then the value of theta+varphi belongs to (a) (pi/3,pi/2] (b) (pi/2,(2pi)/3] (c) ((2pi)/3,(5pi)/6] (d) ((5pi)/6,pi]

In triangle A B C , Medians A D and C E are drawn. If A D=5,/_D A C=pi/8,a n d/_A C E=pi/4 , then the area of the triangle A B C is equal to (25)/9 (b) (25)/3 (c) (25)/(18) (d) (10)/3

The angle between the tangents drawn from the point (1, 4) to the parabola y^2=4x is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2