In an isosceles ` A B C` , the altitudes intersect on the inscribed circle then the cosine of the vertical angle `' A '` IS `1/9` (b) `1/3` (c) `2/3` (d) none

In the given figure, what is the radius of the inscribed circle? 3/2 (b) 5/2 (c) 7/5 (d) none of these

If an isosceles triangle A B C in which A B=A C=6c m is inscribed in a circle of radius 9c m , find the area of the triangle.

If an isosceles triangle A B C in which A B=A C=6c m is inscribed in a circle of radius 9c m , find the area of the triangle.

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A can be (1,6) (b) (-1/2,5) (5/6,6) (d) none of these

The volume of the greatest cylinder which can be inscribed in a cone of height 30 cm and semi-vertical angle 30^0 is (a) 4000pi/(sqrt(3)) (b) 4000pi/3c m^3 (c) 4000pi/(sqrt(3)c m^3 (d) none of these

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

In a triangle A B C , the altitude from A is not less than B C andthe altitude from B is not less than A C . (a)The triangle is right angled (b) isosceles obtuse angled (d) equilateral

If DeltaA B C is an isosceles triangle such that A B=A C ,\ then altitude A D from A on B C bisects B C (Fig.43).

(c) 103 (d) 10 18. A circle is inscribed in an equilateral triangle with side lengths 6 unit. Another circle is drawn inside the triangle (but outside the first circle), tangent to the first circle and two of the sides of the triangle. The radius of the smaller circle is (b) 2/3 (a) 1/ root3 (c) 2 (d) 1

If the sides of a right-angled triangle are in A.P., then the sines of the acute angles are 3/5,4/5 b. 1/(sqrt(3)),sqrt(2/3) c. 1/2,(sqrt(3))/2 d. none of these