If area of ` ΔA B C(Δ)` and angle C are given and if the side `c` opposite to given angle is minimum, then `a=sqrt((2Δ)/(sinC))` (b) `b=sqrt((2Δ)/(sinC))` `a=sqrt((4Δ)/(sinC))` (d) `b=sqrt((4Δ)/(sinC))`

If the angles of the triangle ABC are in A.P. and b:c= sqrt3:sqrt2 then find the value of angleA

The angles A, B, C of triangle ABC are in A.P. and b:c = sqrt(3): sqrt(2) . Find A.

A B C D is a square of unit area. A circle is tangent to two sides of A B C D and passes through exactly one of its vertices. The radius of the circle is (a) 2-sqrt(2) (b) sqrt(2)-1 (c) sqrt(2)-1/2 (d) 1/(sqrt(2))

(a) sqrt(175) (b) 2sqrt(112) (c) sqrt(125) (d) 5sqrt(119)

In A B C , sides b , c and angle B are given such that a has two values a_1and a_2dot Then prove that |a_1-a_2|=2sqrt(b^2-c^2sin^2B)

In the triangle ABC, two sides b,c and angle B are given, side a has two values a_(1) and a_(2) . Show that |(a_(1)-a_(2))|=2sqrt(b^(2)-c^(2)sin^(2)B) .

Length of the latus rectum of the parabola sqrt(x) +sqrt(y) = sqrt(a) is (a) a sqrt(2) (b) (a)/(sqrt(2)) (c) a (d) 2a

If the angle A ,Ba n dC of a triangle are in an arithmetic propression and if a , ba n dc denote the lengths of the sides opposite to A ,Ba n dC respectively, then the value of the expression a/csin2C+c/asin2A is (a) 1/2 (b) (sqrt(3))/2 (c) 1 (d) sqrt(3)

In a A B C , if tanA:tanB :tanC=3:4:5, then the value of sinA sinB sinC is equal to (a) 2/(sqrt(5)) (b) (2sqrt(5))/7 (2sqrt(5))/9 (d) 2/(3sqrt(5))

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