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:

Find the distance of the line 4x+7y+5=0 from the point (1,""""2) along the line 2x-y=0 .

The number of points on the line x +y=4 which are unit distance apart from the line 2x+2y = 5 is :

The coordinates of the points on the circles x^(2) +y^(2) =9 which are at a distance of 5 units from the line 3x + 4y = 25 are :

Three particles start from the origin at the same time, one with a velocity v_(1) along the x-axis, second along the y-axis with a velocity v_(2) and third particle moves along the line x = y. The velocity of third particle, so that three may always lie on the same line is:

The triangle ABC, right angled at C, has median AD, BE and CF, AD lies along the line y = x + 3 , BE lies along the line y lies along the line y=2x +4 . If the length of the hypotenuse is 60, fin the area of the triangle ABC (in sq units).

A particle from the point P(sqrt3,1) moves on the circle x^2 +y^2=4 and after covering a quarter of the circle leaves it tangentially. The equation of a line along with the point moves after leaving the circle is

A particle moves along the curve y=x^2 + 2x . At what point(s) on the curve are x and y coordinates of the particle changing at the same rate?

A particle of mass m is moving along the line y-b with constant acceleration a. The areal velocity of the position vector of the particle at time t is (u=0)

Particle moves from point A to point B along the line shown in figure under the action of force. VecF = - x hati + y hatj . Determine the work done on the particle by vec F in moving the particle from point A to point B.

A particle is moving along the line 5y=-6x+30 at a rate of 2 units per second. If the particle starts at the y-intercept and moves to the right along this line, how many seconds will it take for the particle to reach the x - axis ?