Quadratic Equations and Inequalities questions
963 published questions with worked solutions.
- If roots of the equation x^2 - bx + c = 0 be two consecutive integers, then b^2 - 4c equals
- If both the roots of the quadratic equation x^2 - 2kx + k^2 + k - 5 = 0 are less than 5 , then k lies in the interval
- If the roots of the quadratic equation x^2 + px + q = 0 are 30^ and 15^ , respectively then the value of 2 + q - p is
- All the values of m for which both roots of the equations x^2 - 2mx + m^2 - 1 = 0 are greater than −2 but less than 4 , lie in...
- If x is real, the maximum value of 3x^2 + 9x + 17 3x^2 + 9x + 7 is
- If the difference between the roots of the equation x^2 + ax + 1 = 0 is less than 5, then the set of possible values of a is
- The quadratic equations x^2 - 6x + a = 0 and x^2 - cx + 6 = 0 have one root in common. The other roots of the first and second...
- If the roots of the equation bx^2 + cx + a = 0 be imaginary, then for all real values of x, the expression 3b^2x^2 + 6bcx + 2c^2...
- If A = ^2x + ^4x, then for all real x
- The equation ( p - 1)x^2 + ( p)x + p = 0 in the variable x, has real roots. Then p can take any value in the interval
- The equation ( p - 1)x^2 + ( p)x + p = 0 in the variable x, has real roots. Then p can take any value in the interval
- Let , be the roots of the equation x^2 - px + 2 = 0 and 2 , 2 be the roots of the equation x^2 - qx + r = 0. Then the value of r...
- For all real x, the minimum value of 1-x+x^2 1+x+x^2 is
- In a , m R= 2 . If ( P 2 ) and ( Q 2 ) are the roots of the equation ax^ 2 +bx+c=0 (a 0), then
- The quadratic polynomial p(x) has roots 1 and , while quadratic polynomial q(x) has roots 1 and . Let and be the roots of...
- A ball is thrown in the air. Its height at any time t is given by h=3+14t-5t^2. Then the maximum height it can reach
- Range of the function f(x)= x^2+x+2 x^2+x+1 , x IR is
- If f(x)= x+2 x^2-3x+1 , then the values of x for which f(x) is not defined are
- The difference between the roots of the equation x^2+2x+4=0 is.... (where i= -1 )
- The value of 'a' so that the sum of squares of the roots of the equation x^2 - (a - 2)x - a + 1 = 0 assumes the least value is
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