Complex number and quadratic equations, Class -11 , Ch - 5 , Ex -5.1 , Q - 1,2,3,4,5,6

Sets , Nios, Class-12, Ch-1 ,Ex-1.1 ,Q-1

is 3x(2x-5)+6=2x(3x+5)-6 a quadratic equation ?

Find the number of distinct rational numbers x such that oltxlt1 and x=p//q , where p ,q in {1,2,3,4,5,6} .

If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it to solve the following system of equation 5x - y + 4z = 5, 2x + 3y +5z = 2, 5x - 2y + 6z =-1

Is (3x-2)(2x-3)=(2x+5)(2x-1) a quadratic equation ?

The roots of the quadratic equation 4x^(2)-(5a+1)x+5a=0 , are p and q. if q=1+p, calculate the possible values of a,p and q.

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^2-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

If A=[(2,-3,5),(3,2,-4),(1,1,-2)] , find A^(-1) and hence solve the system of linear equations: \ 2x-3y+5z=11 ,\ \ 3x+2y-4z=5,\ \ x+y-2z=-3

A die was thrown 25 times and following scores were obtained: 1, 5, 2, 4, 3 6, 1, 4, 2, 5 1, 6, 2, 6, 3 5, 4, 1, 3, 2 3, 6, 1, 5, 2 Prepare a frequency table of the scores.

A die was thrown 25 times and following scores were obtained: 1, 5, 2, 4, 3 6, 1, 4, 2, 5 1, 6, 2, 6, 3 5, 4, 1, 3, 2 3, 6, 1, 5, 2 Prepare a frequency table of the scores.