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Question: For the points on the circle x<sup>2</sup> + y<sup>2</sup> –2x –2y + 1 = 0 the sum of maximum and mi...

For the points on the circle x2 + y2 –2x –2y + 1 = 0 the sum of maximum and minimum values of 4x + 3y is -

A

263\frac { 26 } { 3 }

B

10

C

12

D

) 14

Explanation

Solution

)

Sol. Any point on the circle is (1 + cosq, 1 + sinq)

Ž 4x + 3y = 4(1 + cosq) + 3(1 + sinq)