The point(s) on the curve \( y^{2}=3 x^{2}+2 x \) where the
tangent is vertical, is(are)....
The point(s) on the curve \( y^{2}=3 x^{2}+2 x \) where the
\( \mathrm{P} \)
tangent is vertical, is(are)
W
(1) \( \left(\frac{1}{3}, 1\right) \)
(2) \( \left(\frac{-2}{3}, 0\right) \)
(3) \( (-3, \pm \sqrt{21}) \)
(4) \( (1, \pm \sqrt{5}) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-22 | On the interval \( [0,1] \) the function \( x^{25}(1-x)^{75} \) takes
its maximum value at the p.... |
2024-01-22 | It the tangent at any point on the curve is equally
inclined to both the axes then.... |
2024-01-22 | Let \( \alpha, \beta \in \mathrm{R} \) be such that \( \lim _{x \rightarrow 0} \frac{x^{2} \sin .... |
2024-01-22 | If \( f(x)=x^{\alpha} \log _{e} x \) and \( f(0)=0 \) then the value of ' \( \alpha \) '
for whi.... |
2024-01-22 | Each question contains statements given in two columns, which have to be matched. The statements.... |
2024-01-22 | The point on the curve \( y^{2}=4 x \) which is nearest to
the point \( (5,0) \) is
W..... |
2024-01-22 | If \( f(x)=|x| \cos x+(x-1)\left|x^{2}-1\right| \) then number of
points of non-differentiabilit.... |
2024-01-22 | Match the following.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multi.... |
2024-01-22 | If \( f(x)=\left\{\begin{array}{ll}x^{2}, & x \neq 0 \\ 1, & x=0\end{array}\right. \) then
(1) \.... |
2024-01-22 | Rolle's theorem cannot be applied to which of the
following function:.... |
2024-01-22 | The point(s) on the curve \( y^{2}=3 x^{2}+2 x \) where the
tangent is vertical, is(are).... |
2024-01-22 | Let \( f:[1, \infty) \rightarrow[2, \infty) \) be a differentiable function
such that \( f(1)=2..... |
2024-01-22 | If the normal to the curve \( y=f(x) \) at the point \( (3,4) \)
makes an angle \( \frac{{ }^{\p.... |
2024-01-22 | If the volume of a cube is increasing at the rate of 15
\( \mathrm{cm}^{3} / \mathrm{min} \). Wh.... |
2024-01-22 | The interval where function \( f(x)=e^{x^{2}} \) is increasing
will be:.... |
2024-01-22 | Find the rate of change of a circumference of circle
with respect to its radius, when \( r=2 \ma.... |
2024-01-22 | The set of all values of a for which \( \lim _{x \rightarrow a}([x-5]- \)
\( [2 x+2])=0 \) where.... |
2024-01-22 | \( \lim _{x \rightarrow 0} \frac{\cos (\sin x)-\cos x}{x^{4}} \) is equal to:.... |
2024-01-22 | \( \lim _{x \rightarrow 0} \frac{\sin ^{2}\left(\pi \cos ^{4} x\right)}{x^{4}} \) is equal to:.... |
2024-01-22 | Match the following
\begin{tabular}{|c|c|c|c|}
\hline & Column I & & Column II \\
\hline (A) & \.... |
2024-01-22 | \( \lim _{n \rightarrow \frac{1}{\sqrt{2}}} \frac{\sin \left(\cos ^{-1} n\right)-n}{1-\tan \left.... |