New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Quadratic Equation and Inequalities question

2012 · Shift 0 · Q42

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Quadratic Equation and Inequalities
2012 · Shift 0 · Q42

Quadratic Equation and Inequalities question

2012 · Shift 0 · Q42

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

The equation

{e^{\sin x}} - {e^{ - \sin x}} - 4 = 0

has:

A
infinite number of real roots
B
no real roots
C
exactly one real root
D
exactly four real roots

More from Quadratic Equation and Inequalities

If $α$ and $β$ are the roots of the equation $x^{2} - x + 1 = 0,$ then $α^{2009} + β^{2009} =$ 2010 · MCQ
If the roots of the equation $b x^{2} + c x + a = 0$ imaginary, then for all real values of $x$ , the expression $3 b^{2} x^{2} + 6 b c x + 2 c^{2}$ is :2009 · MCQ
The quadratic equations $x^{2} - 6 x + a = 0$ and $x^{2} - c x + 6 = 0$ have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is2008 · MCQ
STATEMENT - 1 : For every natural number $n \geq 2, \frac{1}{1} + \frac{1}{2} + ........ + \frac{1}{n} > n .$ STATEMENT - 2 : For every natural number $n \geq 2,$ , $n (n + 1) < n + 1.$ 2008 · MCQ
If the difference between the roots of the equation $x^{2} + a x + 1 = 0$ is less than $5,$ then the set of possible values of $a$ is2007 · MCQ
If the roots of the quadratic equation $x^{2} + p x + q = 0$ are $tan 3 0^{\circ}$ and $tan 1 5^{\circ}$ , respectively, then the value of $2 + q - p$ is2006 · MCQ
All the values of $m$ for which both roots of the equation $x^{2} - 2 m x + m^{2} - 1 = 0$ are greater than $- 2$ but less then 4, lie in the interval2006 · MCQ
If $x$ is real, the maximum value of $\frac{3 x ^{2} + 9 x + 17}{3 x ^{2} + 9 x + 7}$ is2006 · MCQ