MCQ
Roots of a quadratic equation are real when discriminant is ______________
- Azero
- Bgreater than zero
- Cless than zero
- Dgreater than or equal to zero
Solution:
For a quadratic equation, ax2 + bx + c = 0, discriminant is b2-4ac.
Roots are $\frac{-\text{b}\pm\sqrt{\text{b}^2-4\text{ac}}}{2\text{a}}$ For real roots, radical must be non-negative i.e. discriminant should be greater than or equal to zero.
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If 9 times the 9th term of an A.P. is equal to 13 times the 13th term, then the 22nd term of the A.P. is:
In the expansion of $\Big(\text{x}^{2}-\frac{1}{3\text{x}}\Big)^{9},$ the term without x is equal to:
$\frac{28}{81}$
$\frac{-28}{243}$
$\frac{28}{243}$
None of these.
Equation of the circle with centre on the y - axis and passing through the origin and the point (2, 3) is:
$6\tan\beta$