Related InterviewSolutions

• If y=mx+4 is common tangent to parabolas `y^(2)=4x and x^(2)=2by`. Then value of b isA. 128B. `-128`C. `-64`D. `-32`
• If y=mx+4 is common tangent to parabolas `y^(2)=4x and x^(2)=2by`. Then value of b isA. -64B. -32C. -128D. 16
• Evaluate `lim_(x to 2) (3^(x)+3^(x-1)-12)/(3^((-x)/(2))-3^(1-x))`
• If `alpha` and `beta` are the roots of equation (k+1) `tan^(2)x-sqrt2lambda, tan=1-k and tan^(2)(alpha+beta)=50`. Find the value of `lambda`A. 10B. 5C. 7D. 12
• Let ` A ( 1, 0 ) , B ( 6, 2 ) ` and ` C (( 3 ) /(2), 6 ) ` be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas , then the length of the line segment PQ, where Q is the point ` ( - ( 7 ) /(6), - ( 1 ) /(3)) , ` is _________.
• If f(x) is continuous and differentiable in `x in [-7,0] and f(x) le 2 AA x in [-7,0]`, also f(-7)=-3 then range of f(-1)+f(0)A. [-5,-7]B. `(-oo,6]`C. `(-oo,20]`D. `[-5,3]`
• Let P be the set of points `(x, y)` such that `x^2 lt y lt – 2x + 3`. Then area of region bounded by points in set P isA. `29/3`B. `34/3`C. `32/3`D. `31/3`
• A is a `3 xx 3` matrix whose elements are from the set `{ -1, 0, 1}`. Find the number of matrices A such that `tr(AA^T) =3`. Where `tr(A)` is the trace of A.
• Let coefficient of `x^4` and `x^2` in the expansion of `(x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6` is `alpha` and `beta` then `alpha-beta` is equal toA. `alpha - beta =-132`B. `alpha + beta =60`C. `alpha - beta =60`D. `alpha+ beta =-30`
• Pair of tangents are drawn from origin to the circle `x^2 + y^2 – 8x – 4y + 16 = 0` then square of length ofchord of contact isA. `(64)/(5)`B. `(52)/(5)`C. `(56)/(5)`D. `(32)/(5)`