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Question: If the equation \(\frac{K(x + 1)^{2}}{3} + \frac{(y + 2)^{2}}{4}\)= 1 represents a circle, then K =...

If the equation K(x+1)23+(y+2)24\frac{K(x + 1)^{2}}{3} + \frac{(y + 2)^{2}}{4}= 1 represents a circle, then K =

A

34\frac{3}{4}

B

1

C

43\frac{4}{3}

D

12

Answer

1

Explanation

Solution

Coff. of x2 = coff. of y2

K3\frac{K}{3}= 14\frac{1}{4}Ž K = 34\frac{3}{4}