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Let A1, B1, C1 be three points in the xy -plane. Suppose that the lines A1C1 and B1C1 are tangents to the curve y2 = 8x at A1 and B1, respectively. If O = (0,0) and C1 = −( 4, 0), then which of the following statements is (are) TRUE ?
Let A1, B1, C1 be three points in the xy -plane. Suppose that the lines A1C1 and B1C1 are tangents to the curve y2 = 8x at A1 and B1, respectively. If O = (0,0) and C1 = −( 4, 0), then which of the following statements is (are) TRUE ?
Updated On: Oct 5, 2024
- The length of the line segment OA1 is \(4\sqrt3\)
- The length of the line segment A1B1 is 16
- The orthocenter of the triangle A1B1C1 is (0, 0)
- The orthocenter of the triangle A1B1C1 is (1, 0)
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The Correct Option is A, C
Solution and Explanation
The correct option is (A): The length of the line segment OA1 is \(4\sqrt3\) and (C): The orthocenter of the triangle A1B1C1 is (0, 0).
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