InterviewSolution
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InterviewSolution
| 1. |
The angle between the tangents from the origin to the circle (x − 7)2 + (y + 1)2 = 2 is (1) π/3 (2) π/4 (3) π/2 (4) π/6 |
| Answer» <p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Correct option (3) π/2</strong></span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif"><strong>Explanation: </strong></span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">(x − 7)<sup> 2</sup> + (y + 1)<sup> 2</sup> = 5<sup>2</sup> .</span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">The equation of the director circle is (x − 7)<sup>2 </sup>+ (y + 1)<sup>2</sup> = 2 × 5<sup>2</sup></span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">(0, 0) satisfies this equation; origin lies on the director circle. </span></span></p><p style="text-align: justify;"><span style="color:#000000"><span style="font-family:Arial,Helvetica,sans-serif">Angle between the tangents is 90° or π/2</span></span></p> | |