Related InterviewSolutions

• The cofficient of `x^(18)` in the product `(1 + x) (1 - x)^(1) (1 + x + x^(2))^(9)` isA. -84B. 84C. 126D. -126
• The positive value of `lambda` for which the coefficient of `x^(2)` in the expression `x^(2) (sqrt(2) + (lambda)/(x^(2)))^(10)` is 720 isA. `sqrt(5)`B. 4C. `2sqrt(5)`D. `3
• The coefficient of `t^4` in `((1-t^6)/(1-t))^3` (a) `18` (b) `12` (c) `9` (d) `15`A. 12B. 15C. 10D. 14
• Number of rational terms in the expansion of `(sqrt2+4sqrt3)^100` is : (A) 25 (B) 26 (C) 27 (D) 28A. 25B. 26C. 27D. 28
• In a triangle the sum of two sides is x and the product of the same is y. If `x^2 - c^2 = y` where c is the third side. Determine the ration of the in-radius and circum-radiusA. `(3y)/(2x(x+c))`B. `(3y)/(2c(x+c))`C. `(3y)/(4x(x+c))`D. `(3y)/(4c(x+c))`
• In a right - angled isosceles triangle , the ratio of the circumradius and inradius isA. `2(sqrt(2) +1):1`B. `(sqrT(2)+1):1`C. `2:1`D. `sqrt(2):1`
• The ratio of the area of a regular polygon of `n`sides inscribed in a circle to that of the polygon of same number of sidescircumscribing the same is 3:4. Then the value of `n`is6 (b)4 (c) 8(d) 12A. 1B. 8C. 12D. 6
• In a triangle ABC a= 4 , b= 3 , `angle A =60 ^@` ,Then c is root of equation :-A. `c^2+3c-7=0`B. `c^2-3c-7=0`C. `c^2-3c+7=0`D. `c^2+3c+7=0`
• In a `DeltaABC`, `a=6, b=10,` area of `Delta=15sqrt3` sq units, if `/_ACB` is obtuse and `r` denotes the radius of inscribed circle then value of `r^2=`A. 4B. 5C. 6D. 3
• In triangle ABC,a= 5,b=7 and sin A =3/4 how many such triangle are possibleA. 1B. 0C. 2D. Infinite