Question:medium

The line $y = mx + c$ touches the ellipse $9x^2 + 16y^2 = 144$ if the value of $c^2$ is:

Show Hint

Always convert the equation of the ellipse into standard form first to correctly identify $a^2$ (under $x^2$) and $b^2$ (under $y^2$).
Updated On: May 31, 2026
  • $16m^2 + 9$
  • $9m^2 + 16$
  • $16m^2 - 9$
  • $9m^2 - 16$
Show Solution

The Correct Option is A

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