The number of distinct real roots of the equation
\( \sin (\pi x)=x^{2}-x+\frac{5}{4} \) is....
The number of distinct real roots of the equation
\( \mathrm{P} \)
\( \sin (\pi x)=x^{2}-x+\frac{5}{4} \) is
(1) 0
(2) 1
(3) 2
(4) 4
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-22 | Consider the equation \( 2^{\sin x}+2^{\cos x}=2^{1-\frac{1}{\sqrt{2}}} \).
The number of soluti.... |
2024-01-22 | Consider the equation \( 2^{\sin x}+2^{\cos x}=2^{1-\frac{1}{\sqrt{2}}} \).
The equation is equi.... |
2024-01-22 | The number of solutions of the equation \( |\sin x|= \)
\( |\cos 3 x| \), where \( x \in[-2 \pi,.... |
2024-01-22 | If \( |\operatorname{cosec} x|=\frac{5 \pi}{4}-\left|\frac{x}{2}\right|, \forall x \in(-2 \pi, 2.... |
2024-01-22 | If \( 6|\sin x|=x \) when \( x \in[0,2 \pi] \), then number of solutions
is.... |
2024-01-22 | \begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{|c|}{ Colum.... |
2024-01-22 | If the equation \( x^{2}+12+3 \sin (a+b x)+6 x=0 \) has at least one real solution where \( a, b.... |
2024-01-22 | Which of the following statements is correct about the
solution set of the system of equations \.... |
2024-01-22 | The number of solutions of the equation
\( 5^{\frac{1}{2}}+5^{\frac{1}{2}+\log _{5}(\sin x)}=15^.... |
2024-01-22 | If \( \sin x+\cos x=y^{2}-y+a \) is not satisfied by any real
value of \( x \) for any \( y \), .... |
2024-01-22 | The number of distinct real roots of the equation
\( \sin (\pi x)=x^{2}-x+\frac{5}{4} \) is.... |
2024-01-22 | The number of solutions of the equation
\( \sin \frac{5 x}{2}-\sin \frac{x}{2}=2, x \in[0,2 \pi].... |
2024-01-22 | Let \( x+\sin y=2009 \) and \( x+2009 \cos y=2008 \), where
\( y \in\left[0, \frac{\pi}{2}\right.... |
2024-01-22 | If the coefficient of \( x \) in the expansion of \( \prod_{r=1}^{110}(1+r x) \)
is \( \lambda(1.... |
2024-01-22 | If the sum to \( n \) terms of the series
\( \frac{1}{1 \cdot 3.5 .7}+\frac{1}{3.5 .7 .9}+\frac{.... |
2024-01-22 | Suppose, \( \alpha, \beta \) are roots of \( a x^{2}+b x+c=0 \) and \( \gamma, \delta \)
are roo.... |
2024-01-22 | For the series,
\( P \)
\[
\begin{array}{l}
S=1+\frac{1}{(1+3)}(1+2)^{2}+\frac{1}{(1+3+5)}(1+2+3.... |
2024-01-22 | Suppose, \( \alpha, \beta \) are roots of \( a x^{2}+b x+c=0 \) and \( \gamma, \delta \) are roo.... |
2024-01-22 | The \( G M \) of two positive number is 6 . Their \( A M \) is \( A \) and \( H M \) is \( H \) .... |
2024-01-22 | Suppose, \( \alpha, \beta \) are roots of \( a x^{2}+b x+c=0 \) and \( \gamma, \delta \) are roo.... |
2024-01-22 | If \( \cos (x-y), \cos x \) and \( \cos (x+y) \) are in HP, the
\( \cos x \sec \left(\frac{y}{2}.... |