If the tangents are drawn from any point on the line x + y = 3 to the circle x^2 + y^2 = 9 , then the chord of contact passes through the point (k,k) , where k =
a.2
b.3
c.-2
d.-3
a.2
b.3
c.-2
d.-3
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
[tex](k,3 -k) \: chord \: contact \: of \\ tangent \: drawn[/tex]
[tex]k \times x + (3 - k) \times y = 9 \\ \\ (3y - 9) + k(x - y) = 0[/tex]
[tex]which \: clearly \: pasees \: \\ through \\ \\ 3y - 9 = 0 \: and \: x - y = 0 \\ \\ k(3 \: and \: 3)[/tex]
Answer:
[tex]\begin{gathered}(k,3 -k) \: chord \: contact \: of \\ tangent \: drawn\end{gathered} \\ \begin{gathered}k \times x + (3 - k) \times y = 9 \\ \\ (3y - 9) + k(x - y) = 0\end{gathered} \\ \begin{gathered}which \: clearly \: pasees \: \\ through \\ \\ 3y - 9 = 0 \: and \: x - y = 0 \\ \\ k(3 \: and \: 3)\end{gathered} [/tex]
hope this helps ❤️