In an isosceles right angled triangle ABC, `/_B=90^0, AD` is the median then `(sin/_BAD)/(sin/_CAD)` is (A) `1/sqrt(2)` (B) `sqrt(2)` (C) 1 (D) none of these

Solution set of inequation ( cos^-1x)^2-(sin^-1x)^2gt0 is (A) [0, 1/sqrt(2)) (B) [-1, 1/sqrt(2)) (C) (-1,sqrt2) (D) none of these

In a Delta ABC,/_B=60^(@) and /_C=45^(@). Let D divides BC internally in the ratio 1:3. then value of (sin/_BAD)/(sin/_CAD) is (A) sqrt((2)/(3)) (B) (1)/(sqrt(3)) (C) (1)/(sqrt(6)) (D) (1)/(3)

In a right angled triangle ABC,write the value of sin^(2)A+sin^(2)B+sin^(2)C

In a Delta ABC if A=(1,2) and the internal angle bisectors through B and C are y=x and y=-2x. The inradius r of Delta ABC is (A) 1/sqrt3 (B) 1/sqrt2 (C) 2/3 (D) none of these

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

In triangle ABC,/_B=(pi)/(3), and /_C=(pi)/(4)* Let D divided BC internally in the ratio 1:3. Then (sin/_BAD)/(sin/_CAB) equals (a) (1)/(sqrt(6)) (b) (1)/(3)(c)(1)/(sqrt(3)) (d) sqrt((2)/(3))

If in a triangle ABC,b=sqrt(3),c=1 and B-C-90^(0), then angle A is

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

Delta ABC has a right angle at A. If BC = sqrt2 and AB = AC = 1 then sin B is equal to (a) (1)/(sqrt2) (b) sqrt2 (c) (sqrt3)/(2) (d) sqrt3