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Practice Online Test Series for JEE Main 2018 & NEET 2018
If (4, 2, p) is the centroid of the tetrahedron formed by the points (k, 2, -1), (4, 1, 1), (6, 2, 5) and (3, 3, 3), then k+p=
If the distance of point P from (1, 1, 1) is equal to double the distance of P from the y-axis, then the locus of P is
If the extremities of a diagonal of a square are (1, -2, 3) and (2, -3, 5), then the length of its side is
If A=(1 ,2, 3) and B=(3, 5, 7) and P, Q are the points on AB such that AP=PQ=QB then the mid point of PQ is
If `alpha, beta, gamma` the roots of `x^3+ax^2+b=0`, then the value of `|[alpha,beta,gamma],[beta,gamma,alpha],[gamma,alpha,beta]|` is:
If `f(x), g(x)` and `h(x)` are three polynomials of degree two and
`phi(x)=|[f(x),g(x),h(x)],[f'(x),g'(x),h'(x)],[f''(x),g''(x),h''(x)]|` ,then `phi'(x)` is
If the lines `x+ay=a, bx+y=b` and `cx+cy=1` are concurrent, then the value of `a/(1-a)+b/(1-b)+c/(1-c)` is:
If `|[(1+x),(1+x)^2,(1+x)^3],[(1+x)^4,(1+x)^5,(1+x)^6],[(1+x)^7,(1+x)^8,(1+x)^9]|=a_0+a_1x+a_2x^2+........`, then `a_1` is equal to:
If A is the diagonal matrix (order `3xx3`) diagonal `(d_1, d_2, d_3)`, then `A^n n in` N is:
If A=`[[cos x,sin x],[sin x,-cos x]]`, and A (adj A)= `lambda [[1,0],[0,1]]`, then `lambda` is equal to:
If `y=log_(sin x) (tan x)` , then `((dy)/(dx))_(pi/4)` is equal to
If `y=(sin^(-1) x)/(sqrt(1-x^2))` , then `(1-x^2) (dy)/(dx)` is equal to
`d^n/(dx^n)(log x)=`
If `y= sec(tan^(-1) x)`, then `(dy)/(dx)` at `x=1` is
The function `f(x)=e^x +x`,being differentiable and one-to-one, has a differentiable inverse `f^(-1)(x)`. The value of `d/(dx)(f^(-1))` at the point f(log 2) is
Let h(x) be differentiable for all x and let `f(x)=(kx+e^x)h(x),` where k is some ccnstant. If h(0) = 5,h'(0)=-2,and f' (0) = 18, then the value of k is
The `n^(th)` derivative of the function `f(x) =1/(1-x^2)` [where x `in` (-1,1)] at the point x= 0 where n is even is
If `x^2+y^2=t-1/t` and `x^4+y^4=t^2+1/t^2,` then `x^3 y (dy)/(dx)=`
Let `f(x)` be a polynomial of degree 3 such that `f(3)=1, f'(3)=-1, f''(3)=0`, and `f'''(3)=12`. Then the value of `f'(1)` is
Let g(x) be the inverse of an invertible function f(x) which is differentiable at x= c. Then g'(f(c)) equals
