MHT CET2010MathematicsEllipse

The equation of tangent to the curve 9 x²+16 y²=144 which makes equal intercepts with coordinate axes, is

Options

Ax+y=5
Bx+y=16
Cx+y=15
DNone of these

Correct answer

A. x+y=5

Step-by-step solution

Given curve is 9 x²+16 y²=144 x² 16 + y² 9 =1 Let the equation of tangent is x+y=k y=-x+k It is a tangent to the given curve if aligned & c²=a² m²+b² & k²=16(-1)²+9 aligned k²=25 k= 5 Required equations of tangent are x+y= 5

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