If in a triangle `(1-(r_1)/(r_2))(1-(r_1)/(r_3))=2` then the triangle is right angled (b) isosceles equilateral (d) none of these

If in a triangle (r)/(r_(1)) = (r_(2))/(r_(3)) , then

If in a triangle ABC, r_(1)+r_(2)+r_(3)=9r , then the triangle is necessarily

If r_1=r_2+r_3+r prove that the triangle is right angled .

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angled (b) equilateral (c) isosceles (d) none of these

If sinA=sin^2Ba n d2cos^2A=3cos^2B then the triangle A B C is right angled (b) obtuse angled (c)isosceles (d) equilateral

In triangle ABC, if |[1,1,1], [cot (A/2), cot(B/2), cot(C/2)], [tan(B/2)+tan(C/2), tan(C/2)+ tan(A/2), tan(A/2)+ tan(B/2)]| then the triangle must be (A) Equilateral (B) Isoceless (C) Right Angle (D) none of these

In triangle ABC, r=(R )/(6) and r_(1)=7r . Then the measure of angle A =

In triangle ABC, if r_(1) = 2r_(2) = 3r_(3) , then a : b is equal to

The three points (-2,2)(9,-2),a n d(-4,-3) are the vertices of (a) an isosceles triangle (b) an equilateral triangle (c) a right-angled triangle (d) none of these

In triangle A B C , if |1 1 1cotA/2cotB/2cotC/2tanB/2+tanC/2tanB/2+tanA/2tanA/2+tanB/2| then the triangle must be a. equilateral b. isosceles c. obtuse angled d. none of these