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Practice Online Test Series for JEE Main 2018 & NEET 2018
The values of `lambda` for which the system of equations
`x+y-3=0`
`(1+lambda)x+(2+lambda)y-8=0`
`x-(1+lambda)y+(2+lambda)=0` is consistent are
If the system of equations `x-ky-z=0, kx-y-z=0, x+y-z=0` has a non – zero solution, then the possible values of k are
If A and B two are 3x3 matrices, then which one of the following is not true:
If square matrix A is such that `3A^2 +2A^2 +5A+I = 0` then `A^-1` is equal to
If `A=[[3,-4],[1,-1]],`then `A^n` (Where `n in N`) is
The inverse of a skew symmetric matrix of odd order is
If D= diag `(d_1, d_2 ......., d_n)` where `d_i !=` 0, i=1, 2 .............., n then `D^-1` is equal to
If `A=[[x,3,2],[-3,y,-7],[-2,7,0]]`and `A=A^1`, then x+y is equal to
Let A and B be two 2x2 matrices. Consider the statements
(i) `AB=0 => A= or B=0`
(ii) `AB=I_2 => A=B^-1`
(iii) `(A+B)^2=A^2+2AB+B^2` then
If the product of the matrix `B=[[2,6,4],[1,0,1],[-1,1,-1]]` with a matrix A has inverse `C=[[-1,0,1],[1,1,3],[2,0,2]]` then `A^(-1)` equals
The total number of selections of the letters “ned needs nineteen nets” is-
A country has ten smart cities by road. The government decided to connect all these cities by road. How many roads the government need to construct so that every city is connected to every other city?
If the graph of non-constant function is symmetric about the point (3,4), then the value of `sum_(r=0)^6 f(r)+f(3)` is equal to-
If `f(x)=x^11+sin^3(35x)+11x`, then the value of `f^-1(sin pi/5)+f^-1(sin (6pi)/5)+f^-1(sin pi/7)+f^-1(sin (8pi)/7)` is equal to-
What is the coefficient of `x^100` in
`(1+x+x^2+x^3+..........+x^100)^3`?
The range of the function `f(x)=(sqrt(1-x^2))/(1+|x|)` is-
The sum of integral values of a such that the equation ||x-2|-|3-x||=2-a has a solution-
How many times digit 5 appears in writing natural numbers from 1 to 100
If for the function `f(x) =1/4x^2+bx+10; f(12-x)=f(x) AA x in R` then the value of ‘b’ is-
A circle with centre ‘P’ is tangent to negative x & y axis and externally tangent to a circle with centre (-6, 0) and radius 2. What is the sum of all possible radii of the circle with centre P?
