Let \( A B C \) be an equilateral triangle inscribed in the cirele \( x^{2}+y^{2}=a^{2} \). Supp...

Channel:
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=lfZwd8za6ic



Duration: 18:09
18 views
0


Let \( A B C \) be an equilateral triangle inscribed in the cirele \( x^{2}+y^{2}=a^{2} \). Suppose perpendiculars from \( A, B, C \) to the major axis of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1,(ab) \) meets the ellipse respectively at \( P, Q, R \) so that \( P, Q, R \) lie on the same side of the major axis as \( A, B, C \) respectively. Prove that, the normals to the ellipse drawn at the points \( P, Q \) and \( R \) are concurrent.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-02-20If \( a \neq b \neq c \), then prove that the points \( \left(a, a^{2}\right),\left(b, b^{2}\rig...
2023-02-20Four points \( A(6,3), B(-3,5), C(4,-2) \) and \( D(\mathrm{x}, 3 \mathrm{x}) \) are given such ...
2023-02-20The vertices of a \( \triangle A B C \) are \( A(7,8), B(4,2) \) and \( C(8,2) \). The mid-point...
2023-02-20Which one of the following statements is not a tautology? (2019 Main, 8 AprillI) (a) \( (p \wedg...
2023-02-20The tangent \( P T \) and the normal \( P N \) to the parabola \( y^{2}=4 a x \) at a point \( P...
2023-02-20If two opposite vertices of a square are W \( (5,4) \) and \( (1,-6) \), then find the coordinat...
2023-02-20The coordinates of one end point of a diameter of a circle are \( (4,-1) \) and coordinates of t...
2023-02-20In the given figure, in \( \triangle A B C, D \) and \( E \) are W the mid-points of the sides \...
2023-02-20The points \( A(0,3), B(-2, a) \) and \( C(-1,4) \) are the vertices of \( \triangle A B C \), r...
2023-02-20Analytical \& Descriptive Questions \( \mathrm{P} \) Let \( A B C \) be a triangle having \( O \...
2023-02-20Let \( A B C \) be an equilateral triangle inscribed in the cirele \( x^{2}+y^{2}=a^{2} \). Supp...
2023-02-20(One or more than one correct option) A solution curve of the differential equation \( \left(x^{...
2023-02-20Prove that the points \( (3,0),(6,4) \) and \( (-1,3) \) are the vertices of a right angled isos...
2023-02-20The circle \( x^{2}+y^{2}-8 x=0 \) and hyperbola \( \frac{x^{2}}{9}-\frac{y^{2}}{4}=1 \) interse...
2023-02-20(One or more than one correct option) Consider the hyperbola \( H: x^{2}-y^{2}=1 \) and a circle...
2023-02-20If \( \overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}} \) and \( \overrightarrow{\mathbf...
2023-02-20Prove that the points \( (0,0),(5,5) \) and \( (-5,5) \) are the vertices of a right angled isos...
2023-02-20(One or more than one correct option) Let \( P \) be the point on the parabola \( y^{2}=4 x \), ...
2023-02-20If the centre of a circle is \( (2 a, a-7) \), then find the values of \( a \), if the circle pa...
2023-02-20True and False (IV Points \( (3,2),(-2,-3) \) and \( (2,3) \) form a right triangle.
2023-02-20If the points \( A(1,-2), B(2,3), C(-3,2) \) and \( D(-4,-3) \) (W) are the vertices of a parall...