In the xy ndash- plane the line l passes through the origin and is parallel to the line 4y ndash- 3x - 8- If a point P in the 1st quadrant that has coordinates P-a-a2- also lies on l- what is the value of a- a- ndash-2 b- ndash-4-3 c- 3-4 d- 2

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Standard Equation of a Straight Line

In the xy ...

Question

In the xy – plane the line l passes through the origin and is parallel to the line 4y – 3x = 8. If a point P in the
1st quadrant that has coordinates P(a,a2) also lies on l, what is the value of a?
a) –2
b) –4/3
c) 3/4
d) 2

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x y

2

(1, 8)

(1, 2)

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P (k + 3, k - 4)

\begin{matrix} List I & List II (a) The coordinates of a point on the line x = 4 y + 5, z = 3 y - 6 at a distance 3 from the point (5, 3, - 6) is/are & (p) (- 1, - 2, 0) (b) The plane containing the lines \frac{x - 2}{3} = \frac{y + 3}{5} = \frac{z + 5}{7} and parallel to^i + 4^j + 7^k has (q) (5, 0, - 6) (c) A line passes through two points A (2, - 3 -, 1) and B (8, - 1, 2) . The coordinates of a point on this line farthest to the origin and at a distance of 14 units from A is & (r) (2, 5, 7) (d) The coordinates of the foot of the perpendicular from the point (3, - 1, 11) on the line \frac{x}{2} = \frac{y - 2}{3} = \frac{z - 3}{4} is/are & (s) (14, 1, 5) \end{matrix}

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