Find the locus of a point which moves such that its distance from the origin is three times its distance from x-axis.
A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by x=t^(2)(2-(t)/(3)) Find the time taken by it to reach Q and also find distance between P and Q.
Find the locus of a point equidistant from the point (2,4) and the y-axis.
If the distance of the plane x - y + z + lambda = 0 from the point (1, 1, 1) is d_1 and the distance of this point from the origin is d_2 and d_2d_2 = 5 then find the value of lambda .
P_1, P_2 are points on either of the two lines y- sqrt(3) |x| =2 at a distance of 5 units from their point of intersection. Find the coordinates of the foot of perpendiculars drawn from P_1, P_2 on the bisector of the angle between the given lines. Thinking Process : Here, equation y- sqrt(3) |x| =2 represents two different lines for x gt 0 and x lt 0 and they are bisector of Y -axis. P_1 and P_2 are points at a distance 5 unit from point of intersection. The y coordinate of the foot of perpendicular on Y-axis is 2+5 cos ( 30^(@) ) .
A point lies on negative direction of X-axis at a distance 6 units from Y-axis. What are its coordinates ?
Find point of Z-axis of the distance sqrt14 from point (-2, 1, 3).
Find distance of the point (3, 4, 5) from Y-axis.
Find point on Y-axis which is of the distance sqrt10 from point (1, 2, 3).
y co - ordinate of the point lies on X - axis is ..........
