The points on the parabola y 2-36 x whose ordinate is three times the abscissa areA- None of theseB- 0-04-12C- 4-12D- 1-3-4-12

The correct option is B (0,0) (4, 12)y_1 = 3x_1 .According to given condition 9x^2_1 = 36_x_1 ⇒ x_1 = 4,0 ⇒ y_1 = 12,0 Hence the points are (0, 0) and (4, 12). ...

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Standard XII

Mathematics

Standard Equation of Parabola

The points on...

Question

The points on the parabola $y^{2} = 36 x$ whose ordinate is three times the abscissa are

(0,0) (4, 12)

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(1, 3), (4, 12)

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(4, 12)

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None of these

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Solution

The correct option is A (0,0) (4, 12)
$y_{1} = 3 x_{1}$ .According to given condition $9 x_{1}^{2} = 36_{x_{1}}$
$\Rightarrow x_{1} = 4, 0 \Rightarrow y_{1} = 12, 0$
Hence the points are (0, 0) and (4, 12).

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The points on the parabola y2=36x whose ordinate is three times the abscissa are

The correct option is A (0,0) (4, 12)y1=3x1 .According to given condition 9x21=36x1 ⇒x1=4,0⇒y1=12,0 Hence the points are (0, 0) and (4, 12).

The points on the parabola $y^{2} = 36 x$ whose ordinate is three times the abscissa are

The correct option is A (0,0) (4, 12)
$y_{1} = 3 x_{1}$ .According to given condition $9 x_{1}^{2} = 36_{x_{1}}$
$\Rightarrow x_{1} = 4, 0 \Rightarrow y_{1} = 12, 0$
Hence the points are (0, 0) and (4, 12).