In a triangle `A B C ,\ C D` is the bisector of the angle `Cdot` If `cosC/2` has the value `1/3` and `l(C D)=6,` then `(1/a+1/b)` has the value equal to `1/9` (b) `1/(12)` (c) `1/6` (d) none

In a triangle ABC,/_A=60^(@) and b:c=(sqrt(3)+1):2 then (/_B-/_C) has the value equal to

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a point of inflection for the same value of x then the value of b is equal to -1 (b) 1 (c) 6 (d) -6

Let A B C be a triangle. Let A be the point (1,2),y=x be the perpendicular bisector of A B , and x-2y+1=0 be the angle bisector of /_C . If the equation of B C is given by a x+b y-5=0 , then the value of a+b is (a)1 (b) 2 (c) 3 (d) 4

If a+b=2c, then the value of (a)/(a-c)+(b)/(b-c) is (1)/(2)(b)1(c)2(d)3

If the bisector of the angle A of triangle ABC meets BC in D, prove that a=(b+c)[1-([AD]^(2))/(bc)]^((1)/(2))

If angle C of a triangle ABC be obtuse,then (A) 0 1 (C) tan A tan B=1(D) none of these

Let A d+2B=[1 2 0 6-3 3-5 3 1]a n d2A-B=[2-1 5 0-1 6 0 1 2] . Then T r(B) has the value equal to 0 b. 1 c. 2 d. none

If a=bc and c=a-b, then the value of a is b^(2)-1( b )(b^(2))/(b-1) (c) (b)/(b-1) (d) None of these