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Byju's Answer

Standard XII

Mathematics

Length of Tangent and Power of a Point

If the length...

Question

If the lengths of the tangents drawn from the point (1,2) to the circles $x^{2} + y^{2} + x + y - 4 = 0$ and $3 x^{2} + 3 y^{2} - x - y + k = 0$ be in the ratio 4:3, then k=

21/2

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7/2

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-21/4

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7/4

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Solution

The correct option is C -21/4

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If the lengths of the tangents drawn from the point (1,2) to the circles x2+y2+x+y−4=0 and 3x2+3y2−x−y+k=0 be in the ratio 4:3, then k=

The correct option is C -21/4

If the lengths of the tangents drawn from the point (1,2) to the circles $x^{2} + y^{2} + x + y - 4 = 0$ and $3 x^{2} + 3 y^{2} - x - y + k = 0$ be in the ratio 4:3, then k=