Question bank/JEE Main/Mathematics

JEE MainMathematicsModerateCircles

The lines 3x−4y+4=03x - 4y + 4 = 0 and 6x−8y−7=06x - 8y - 7 = 0 are tangent to
the same circle. Find the radius of this circle
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Show answer and solution
2r=∣4+7232+42∣=322r = \left| \frac{4 + \frac{7}{2}}{\sqrt{3^{2} + 4^{2}}} \right| = \frac{3}{2}

Source: Grass-G / M-25 Mathematics Paper 7 Jan.docx

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