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Statement-1: Length of the common chord of the parabola`y^(2)=8x` and the circle `x^(2)+y^(2)=9` is less than the length of the latusrectum of the parabola. Statement-2: If vertex of a parabola lies at the point (a. 0) and the directrix is x + a = 0, then the focus of the parabola is at the point (2a, 0).A. Statement-1 is True, Statement - 2 is true, Statement-2 is a correct explanation for Statement-1`B. Statement-1 is True, Statement - 2 is true, Statement-2 is not a correct explanation for Statement-5C. Statement-1 is True, Statement - 2 is False.D. Statement-1 is True, Statement - 2 is True. |
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Answer» Correct Answer - C Parabola `y^(2)=-8x` and the circle `x^(2)=y^(2)=9` intersect at `P(1, 2sqrt2)" and "Q(1, -2sqrt2)`. `:. PQ=4sqrt2lt"Latusrectum (=8)"` So, statement-1m is true. Since vertex (a, 0) is the mid-point of the line segment joining the focus and (-a, 0). So, coordinates of forcus are (3a, 0). Hence, statement-2 is not true. |
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