A point starts moving from (1, 2) and its projections on x and y

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9.Straight Line

hard

A point starts moving from $(1, 2)$ and its projections on $x$ and $y$ - axes are moving with velocities of $3m/s$ and $2m/s$ respectively. Its locus is

$2x - 3y + 4 = 0$

$3x - 2y + 1 = 0$

$3y - 2x + 4 = 0$

$2y - 3x + 1 = 0$

Solution

(a) After time $‘t’$ secs.
Abcissa, $x = 1 + 3\,t$ and ordinate, $y = 2 + 2\,t$
Eliminating $t,$ $\frac{{x – 1}}{3} = \frac{{y – 2}}{2}$ or $2x – 2 = 3y – 6$
or $2x – 3y + 4 = 0.$

Standard 11

Mathematics

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normal

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normal

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hard

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hard

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A point starts moving from $(1, 2)$ and its projections on $x$ and $y$ - axes are moving with velocities of $3m/s$ and $2m/s$ respectively. Its locus is

Solution

Similar Questions

A square of side a lies above the $x$ -axis and has one vertex at the origin. The side passing through the origin makes an angle $\alpha ,(0 < \alpha < \frac{\pi }{4})$ with the positive direction of $x$-axis. The equation of its diagonal not passing through the origin is

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In a triangle $ABC,$ side $AB$ has the equation $2 x + 3 y = 29$ and the side $AC$ has the equation , $x + 2 y = 16$ . If the mid – point of $BC$ is $(5, 6)$ then the equation of $BC$ is :

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