Let \( y=f(x) \) and \( y=g(x) \) be the pair of curves such that (i) the tangents at point with...

Channel:
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=dGj4wyYAinU



Duration: 19:46
3 views
0


Let \( y=f(x) \) and \( y=g(x) \) be the pair of curves such that
(i) the tangents at point with equal abscissa intersect on \( y \)-axis
(ii) the normals drawn at points with equal abscissa intersect on \( x \)-axis and
(iii) the curve \( f(x) \) passes through \( (1,1) \) and \( g(y) \) passes through \( (2,3) \) then
The curve \( g(x) \) is given by-
(a) \( x-\frac{1}{x} \)
(b) \( x+\frac{2}{x} \)
(c) \( x^{2}-\frac{1}{x^{2}} \)
(d) \( \frac{2}{x}-x \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-09If \( x=x(y) \) is the solution of the differential equation \( y \frac{d x}{d y} \) \( =2 x+y^{...
2023-06-09Given two curves \( y=f(x) \) passing through \( (0,1) \) and \( y=\int_{-\infty}^{x} f(t) d t \...
2023-06-09Let \( y=y(x) \) be the solution of the differential equation \( (x+1) y^{\prime}-y=e^{3 x}(x+1)...
2023-06-09Let the function \( \ln f(x) \) is defined where \( f(x) \) exists for \( x \geq 2 \& k \) is fi...
2023-06-09Match the following \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column-I } & \multic...
2023-06-09A curve \( y=f(x) \) passes through \( O(0,0) \) and slope of tangent line at any point \( P(x, ...
2023-06-09Find the solution of \( \left(y \frac{d y}{d x}+2 x\right)^{2}=\left(y^{2}+2 x^{2}\right)\left[1...
2023-06-09Solve the following differential equations: (i) \( 2(x-y \sin 2 x) d x+\left(3 y^{2}+\cos 2 x\ri...
2023-06-09Comprehension \( \quad \) Let \( C \) be a curve \( f(x, y)=0 \) passing through \( (1,1) \) suc...
2023-06-09A function of continuous and differentiable on \( R_{0} \) satisfying \( x f^{\prime}(x)+f(x)=1 ...
2023-06-09Let \( y=f(x) \) and \( y=g(x) \) be the pair of curves such that (i) the tangents at point with...
2023-06-09A function \( y=f^{\prime}(x) \) satisfies \( f^{\prime \prime}(x)=\frac{-1}{x^{2}}-\pi^{2} \sin...
2023-06-09Comprehension \( \quad \) Let \( C \) be a curve \( f(x, y)=0 \) passing through \( (1,1) \) suc...
2023-06-09Let \( f \) be a differentiable function satisfying \[ \int_{0}^{f(x)} f^{-1}(t) d t-\int_{0}^{x...
2023-06-09If \( x \frac{d y}{d x}=x^{2}+y-2, y(1)=1 \), then \( y(2) \) equals
2023-06-09Let \( y=f(x) \) and \( y=g(x) \) be the pair of curves such that (i) the tangents at point with...
2023-06-09Differential equations are solved by reducing them to the exact differential of an expression in...
2023-06-09A curve \( y=f(x) \) is passing through \( (0,0) \). If the slope of the curve at any point \( (...
2023-06-09Differential equations are solved by reducing them to the exact differential of an expression in...
2023-06-09Comprehension A curve \( y=f(x) \) passes through the point \( P(1,1) \). The normal to the curv...
2023-06-09A family of curves has the property that the segment of the tangent between the point of tangenc...