Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyCircles

If tangents are drawn from any point on the line x + y = 3 to the
circle x2+y2=9x^{2} + y^{2} = 9 then the chord of contact passes through the
point

Show answer and solution
Chord of contact is
Li'kZ thok
xh+yk=9⇒xh+y(3−h)=9⇒h(x−y)+3(y−3)=0⇒(3,3)xh + yk = 9 \Rightarrow xh + y(3 - h) = 9 \Rightarrow h(x - y) + 3(y - 3) = 0 \Rightarrow (3,3)

Source: Grass-G / M-25 Mathematics Paper 7 Jan.docx

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