If p and q are the roots of the equation x2 + px + q = 0, then
If a and b are the roots of the equation x2 - x + 1 = 0, then a2009 + b2009 is equal to
The equation esinx – e-sinx – 4 = 0 has
Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation
A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after
If α ≠ β but α2 = 5α - 3 and β2 = 5β - 3, then the equation having α/β and β/α as its roots is
Let a and b be roots of the equation px2 + qx + r, p ≠ 0. If p, q, r are in A.P. and 1/a + 1/b = 4, then the value of |a - b| is
If a, b, c are distinct +ve real numbers and a2 + b2 + c2 = 1, then ab + bc + ca is
If (1 – p) is a root of quadratic equation x2 + px + (1 – p) = 0, then its roots are
What is the sum of the squares of the roots of the equation x2 + 2x - 143 = 0?
If the difference between the roots of ax2 + bx + c = 0 is 1, then which one of the following is correct?
If α and β are the roots of the equation x2 - q(1+x) - r = 0, then what is (1+α)(1+β) equal to?