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If the two circles {2}{x}^{{2}}+{2}{y}^{{2}}-{3}{x}+{6}{y}+{k}

Question

If the two circles $2 x^{2} + 2 y^{2} - 3 x + 6 y + k = 0$ and $x^{2} + y^{2} - 4 x + 10 y + 16 = 0$ cut orthogonally, then find the value of $k$ .

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Scarlett Discussed

If the two circles

2 x^{2} + 2 y^{2} - 3 x + 6 y + k = 0

and

x^{2} + y^{2} - 4 x + 10 y + 16 = 0

cut orthogonally, then find the value of

k

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Discuss this question LIVE

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Question Text

If the two circles

2 x^{2} + 2 y^{2} - 3 x + 6 y + k = 0

and

x^{2} + y^{2} - 4 x + 10 y + 16 = 0

cut orthogonally, then find the value of

k

Filo tutor solution