Two particles start from point (2, -1), one moving two units along the line x+ y = 1 and the other 5 units along the line x - 2y = 4, If the particle

Question

Two particles start from point (2, -1), one moving two units along the line x+ y = 1 and the other 5 units along the line x - 2y = 4, If the particle

Two particles start from point (2, -1), one moving two units along the line x+ y = 1 and the other 5 units along the line x - 2y = 4, If the particle move towards increasing y, then their new positions are:

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

If a particle is moving along a straight line and following is the graph showing acceleration varying with time then choose the correct statement (s)

2 Answers 6 Views

Consider a sytem of two particles having masses `m_(1)` and `m_(2)`. If the particle of mass `m_(1)` is pushed towards the centre of mass of particles

2 Answers 4 Views

Suppose a solid solution is formed between two substances, one whose particles are very large and the other whose particles are very small. What kind

2 Answers 5 Views

A stationary radioactive nucleus of mass 210 units disintegrates into an alpha particle of mass 4 units and residual nucleus of mass 206 units. If the

2 Answers 5 Views

A particle straight line passes through orgin and a point whose abscissa is double of ordinate of the point. The equation of such straight line is :

2 Answers 5 Views

(a) The position of a particle moving along the x-axis depends on the time according to equation. `x=(3t^(2)-t^(3))` m. At what time does the particle

2 Answers 4 Views

A particle is moving along x-axis with acceleration `a=a_(0)(1-t//T)` where `a_(0)` and T are constants. The particle at t=0 has zero velocity. Calcul

2 Answers 5 Views

Two particles A and B start simultaneously from the same point and move in a horizontal plane. A has an initial velocity `u_(1)` due east and accelera

2 Answers 5 Views

The acceleration of a particle moving along x-axis is given by a = 6t. Initially it has a velocity of ` 4m//s` along negative x-direction and it is at

2 Answers 4 Views

A light ray coming along the line `3x+4y=5` gets reflected from the line `a x+b y=1` and goes along the line `5x-12 y=10.` Then, `a=(64)/(115), b=(112

2 Answers 7 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - `(2-sqrt(2), -1+sqrt(2)) " and " (2+2sqrt(5), -1+sqrt(5))`
Given lines intersect at P(2,-1).
Slope of line x+y-1 = 0 is -1.
`therefore "tan"theta = -1`
`therefore "cos"theta = -(1)/(sqrt(2)), "sin" theta = (1)/(sqrt(2))`
One particle moves 2 units upward from point P on the above line.
Thus coordinates of new position obtained by the particle are
`(2+2(-(1)/(sqrt(2))), -1+2 * (1)/(sqrt(2)))-= (2-sqrt(2), -1+sqrt(2))`
Slope of line x-2y-4=0 is 1/2.
`therefore " tan" theta = (1)/(2)`
`therefore " cos" theta = (2)/(sqrt(5)), "sin" theta = (1)/(sqrt(5))`
Other particle moves 5 units upward from point P on above line.
Then coordinates of new position obtained by the particle are
`(2+5((2)/(sqrt(5))), -1+5 * (1)/(sqrt(5)))-= (2+2sqrt(5), -1+sqrt(5))`