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Maths-

General

Easy

Question

The point to which the origin should be shifted in order to eliminate x and y terms in the equation $4 x to the power of 2 end exponent plus 9 y to the power of 2 end exponent minus 8 x plus 36 y plus 4$ = 0

(1, 3 )
(-4, 3)
(-1, 2)
(1, - 2)

The correct answer is: (1, - 2)

Given that 4 $x to the power of 2 end exponent plus 9 y to the power of 2 end exponent minus 8 x plus 36 y plus 4$ =0
a = 4, b = 9 , 2g = -8, 2f =36
$open parentheses fraction numerator negative g over denominator a blank end fraction text , end text fraction numerator negative f over denominator b end fraction close parentheses$ = $open parentheses fraction numerator plus 4 over denominator 4 end fraction comma blank fraction numerator negative 18 over denominator 9 end fraction close parentheses$ = (1, -2)
(or)
$fraction numerator partial differential s over denominator partial differential x end fraction equals 0 rightwards double arrow 8 x minus 8 equals 0 blank Þ blank x equals 1$
$fraction numerator partial differential s over denominator partial differential y end fraction equals 0 rightwards double arrow 18 y plus 36 equals 0 blank Þ blank y equals negative 2$
$therefore$ Req . Point = (1, -2)

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