The points on the curve \( y^{3}+3 x^{2}=12 y \) where the tangent is vertical, is (are) (a) \( ...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=pwLF9LueU64


Duration: 3:53
2 views
0

The points on the curve \( y^{3}+3 x^{2}=12 y \) where the tangent is vertical, is (are)
(a) \( \left( \pm \frac{4}{\sqrt{3}},-2\right) \)
(b) \( \left( \pm \sqrt{\frac{11}{3}}, 1\right) \)
(c) \( (0,0) \)
(d) \( \left( \pm \frac{4}{\sqrt{3}}, 2\right) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-08The length of the normal to the curve at \( (x, y) \) where \( y=a\left(\frac{e^{x / a}+e^{-x / ...
2023-06-08For the curve \( y=b e^{x / a} \) (a) Sub-tangent is constant (b) Sub-normal to constant (c) Len...
2023-06-08The tangent to the curve \( 3 x y^{2}-2 x^{2} y=1 \) at \( (1,1) \) meets the curve again at the...
2023-06-08The slope of the tangent to the curve \( y=\cos ^{-1}(\cos x) \) at \( x=-\pi / 4 \) is (a) 1 (b...
2023-06-08If the tangent at \( t \) on the curve \( y=8 t^{3}-1, x=4 t^{2}+3 \) meets the curve again at...
2023-06-08At any point of a curve \( \sqrt{\frac{\text { Subnormal }}{\text { Subtangent }}}= \) (a) The a...
2023-06-08The subtangent at any point of the curve \( x^{m} y^{n}=a^{m+n} \) varies as (a) The ordinate (b...
2023-06-08Let \( C \) be the curve \( y=x^{3} \) (where \( \mathrm{x} \) takes all real values). The tange...
2023-06-08The \( x \)-intercept of the tangent at any arbitrary point of the curve \( \frac{a}{x^{2}}+\fra...
2023-06-08If the area of the triangle included between the axes and any tangent to the curve \( x y^{n}=a^...
2023-06-08The points on the curve \( y^{3}+3 x^{2}=12 y \) where the tangent is vertical, is (are) (a) \( ...
2023-06-08The line \( \frac{x}{a}+\frac{y}{b}=1 \) touches the curve \( y=b e^{-x / a} \) at the point: \(...
2023-06-08Curve is represented parametrically by the equations \( x=t+e^{a t} \) and \( y=-t+e^{a t} \) wh...
2023-06-08The angle made by the tangent of the curve \( x=a(t+t \sin t \) \( \operatorname{cost}), y=a(1+\...
2023-06-08Equation of tangent to cuve \( x=a \cos ^{3} t, y=a \sin ^{3} t \) at \( t \) is (a) \( x \sec t...
2023-06-08At what points on the curve \( x^{2}+y^{2}-2 x-4 y+1=0 \), the tangents are parallel to the y-ax...
2023-06-08Equation of normal to the curve \( y=x+\sin x \cos x \) at \( x=\frac{\pi}{2} \) is (a) \( x+\pi...
2023-06-08Equation of tangent to curve \( y=\left|x^{2}-13 x+40\right| \) at point \( x= \) 6 is (a) \( x+...
2023-06-08For the curve \( C:\left(x^{2}+y^{2}-3\right)+\left(x^{2}-y^{2}-1\right)^{5}=0 \), the value of ...
2023-06-08The curve \( y=a x^{3}+b x^{2}+c x+8 \) touches \( x \)-axis at \( P(-2,0) \) and cuts the \( y ...
2023-06-08On the curve \( y=\frac{1}{x^{2}+1} \) find a point at which the tangent is parallel to the axis...