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The value of a for which the sum of the squares of the roots of the equation

x 2 - ( a - 2 ) x - a - 1 = 0 assume the least value is

The number of solutions of log4 ( x - 1 ) = log2 ( x - 3 ) is

If x2 + 2ax + 10 - 3a > 0 for every real value of x, then

If the roots of the equation a ( b - c ) x2 + b ( c - a )x + c( a - b ) = 0 are equal, then

a, b, c are in

If ( 1 - p ) is a root of quadratic equation x2 + px + ( 1 - p ) = 0, then the roots are

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers

are the roots of the quadratic equation

The entire graph of the equation y = x2 + kx - x + 9 is strictly above the X-axis if

and only if

If x2 + 6x - 27 > 0 and - x2 + 3x + 4 > 0, the x lies in the interval

If a and ß be the roots of the equation ( x - a ) ( x - b ) = c, c ? 0, then the roots

of the equation ( x - a ) ( x - ß ) = c are

If the roots of the equation x 2 - b x + c = 0 be two consecutive integers, then

b 2 - 4 c equals

this test is for students in class 11 based on quadratic equations . All the questions are ex iit and aieee questions . also questions are based on finding the nature of the roots , quadratic inequalities , position of roots of a quadratic equations , range of a quadratic equation