Home › UP Board Class 10 › Mathematics › Which figure shows a quadratic polynomial with e…
Which figure shows a quadratic polynomial with exactly one zero?    
AFig. with image_id img-3.jpeg
BFig. with image_id img-4.jpeg
CFig. with image_id img-7.jpeg
DFig. with image_id img-8.jpeg
Answer & Solution
Correct answer: B. Fig. with image_id img-4.jpeg
A quadratic has exactly one zero when its graph touches the $x$-axis at one point only. In img-4.jpeg, the parabola touches the $x$-axis at a single point. In img-3.jpeg it cuts the axis at two points, while img-7.jpeg and img-8.jpeg do not meet the $x$-axis.
Related questions
What is the derivative of $x^x$ for $x>0$?If $y=x^{\tan^{-1}x}$, then $\dfrac{dy}{dx}$ equalsThe derivative of $ in^{-1}x$ isThe derivative of $\cos^{-1}x$ isWhat is $\dfrac{d}{dx}(\tan^{-1}x)$?If $y=\dfrac{1}{x^n}$, then $\dfrac{dy}{dx}$ isWhich identity is correct?For the expression $ qrt{1-x^2}$, a useful trigonometric substitution is