The angle made by the tangent of the curve \( x=a(t+t \sin t \) \( \operatorname{cost}), y=a(1+\...

Channel:
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=2TQYKuKkuTk



Duration: 10:29
0 views
0


The angle made by the tangent of the curve \( x=a(t+t \sin t \) \( \operatorname{cost}), y=a(1+\sin t) \) with the \( x \)-axis at any point on it is
(a) \( \frac{1}{4}(\pi+2 t) \)
(b) \( \frac{1-\sin t}{\cos t} \)
(c) \( \frac{1}{4}(2 t-\pi) \)
(d) \( \frac{1+\sin t}{\cos 2 t} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-08At any point of a curve \( \sqrt{\frac{\text { Subnormal }}{\text { Subtangent }}}= \) (a) The a...
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...
2023-06-08The tangent at \( \left(t, t^{2}-t^{3}\right) \) on the curve \( y=x^{2}-x^{3} \) meets the curv...
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...
2023-06-08The points on the curve \( y^{3}+3 x^{2}=12 y \) where the tangent is vertical, is (are) (a) \( ...
2023-06-08If the area of the triangle included between the axes and any tangent to the curve \( x y^{n}=a^...
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 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 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...
2023-06-08The curve \( y=a x^{3}+b x^{2}+c x+8 \) touches \( x \)-axis at \( P(-2,0) \) and cuts the \( y ...
2023-06-08For the curve \( C:\left(x^{2}+y^{2}-3\right)+\left(x^{2}-y^{2}-1\right)^{5}=0 \), the value of ...
2023-06-08Equation of tangent to curve \( y=\left|x^{2}-13 x+40\right| \) at point \( x= \) 6 is (a) \( x+...
2023-06-08On the curve \( y=\frac{1}{x^{2}+1} \) find a point at which the tangent is parallel to the axis...
2023-06-08Let \( f: R \rightarrow R \), satisfy \( f(x+y)=2^{x} f(y)+4^{y} f(x), \forall x, y \in R \). If...
2023-06-08Let \( f(x) \) be a polynomial function suchthat \( f(x)+f^{\prime}(x)+ \) \( f^{\prime \prime}(...
2023-06-08Let \( f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^{2} & a x & a\end{array}\r...