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NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 26 of 71
Marks: +1, -0
Vertex (0, 0), passing through (2, 3) and axis is along x-axis.
Solution:  
Since the vertex of the parabola is at (0, 0) and the axis is along x-axis.
∴ The equation of the parabola is of the form y2y^2 = 4ax
Since the parabola passes through point (2, 3)
∴ (3)2(3)^2 = 4a × 2 = 9 = 8a ⇒ a = 98\frac{9}{8}
The required equation of parabola is
y2y^2 = 4×98x\frac{4 \times 9}{8} x ⇒ y2y^2 = 92\frac{9}{2} x ⇒ 2y22y^2 = 9x.
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