The value of k, such that the equation2x2+ 2y?-6x + 8y +k 0 represents

1.	The value of k, such that the equation2x2+ 2y?-6x + 8y +k 0 represents a point circle, is(a) 0(b) 252525
Answer» 2x²+2y²-6x+8y+k = 0 => x²+y²-3x+4y +k/2= 0 comparing with => x²-3x+(3/2)²-(3/2)² + y²+4y+4-4 = 0=> (x-3/2)²+(y+2)² - 4-9/4 = 0=> (x-3/2)² +(y+2)² -25/4 = 0 so k/2 = -25/4=> k = -25/2 option d

The value of k, such that the equation2x2+ 2y?-6x + 8y +k 0 represents a point circle, is(a) 0(b) 252525

Answer»

2x²+2y²-6x+8y+k = 0

=> x²+y²-3x+4y +k/2= 0

comparing with

=> x²-3x+(3/2)²-(3/2)² + y²+4y+4-4 = 0=> (x-3/2)²+(y+2)² - 4-9/4 = 0=> (x-3/2)² +(y+2)² -25/4 = 0

so k/2 = -25/4=> k = -25/2

option d