What is the equation of the locus of a point P?

What is the equation of the locus of a point P?

Find the locus of a point P such that its ordinate is equal to the abscissa. Hence required equation of the locus of point P is y = 5x + 9. Hence required equation of the locus of point P is x = 2y + 3.

What is the equation of locus of a point which moves such that 4 times?

It is asked that 4 times the distance of A from X-axis is equal to the square of its distance from origin. To obtain the locus of the point A (m, n), we have to just replace m and n from the above equation with x and y respectively. Therefore, ${x^2} + {y^2} – 4|y| = 0$ is the locus to be which was required.

What is the equation of the locus of a point which moves such that?

The equation of the locus of a point which moves, so that its distance from the point (ak,0) is k times its distance from the point (ka​,0),(k=1) is.

How do you find the equation of a locus?

Let us assume that P(x,y) P ( x , y ) is a point on the given locus. The above equation can be converted to the form x2a2+y2b2=1 x 2 a 2 + y 2 b 2 = 1 and hence it represents an ellipse. Thus, the equation of locus is, 36×2+20y2=45 36 x 2 + 20 y 2 = 45 which is an ellipse.

What is the locus of a moving point which is equidistant from the coordinate axes?

The point which is equidistant from the coordinate axes​ are , (x,y) and (-x,y) , (-x, -y) and (x, -y). We have to find that curve which passes through all these four points. Which is a Circle. So,equation of locus is a circle .

Which of the following is the equation of a straight line that passes through point 4 3?

The equation of the straight line passing through the point (4,3) and making intercepts on the co-ordinate axes whose sum is −1 is. x2−y3=1. x−2+y1=1. −x3+y2=1.

What is mean by equation of locus?

Equation to a Locus. Thus, finding out the equation to a locus means finding out the relation that holds true between the x and y coordinates of all points on the locus.

How do you find a locus equation?

How to find the equation of locus of a point?

Let P (x. y) be the point on the locus, Let O (0, 0) be the origin and A (3, -2) be the point Hence required equation of the locus is 24x² + 24y² – 150x + 100y + 325 = 0 Find the equation of locus of a point which is equidistant from the points (2, 3) and (-4, 5)

What is the locus of W in the diagram?

W is the point which moves such that its distance from the point`J and point L is the same. By using letters in the diagram, then the locus of W is the line MK.If true enter 1 else 0.

What are some examples of locus in geometry?

There are some examples of locus which are helpful in geometry are as follows: The locus of a point whose distance from a fixed point A is constant, say r, is a circle with A as the centre and r as the radius. 2.

How to find the locus of a point with abscissa of 3?

Find the locus of a point P such that its abscissa is 3. Let P (x. y) be the point on the locus Given abscissa of P is 3 i.e. x = 3 Find the locus of a point P such that its ordinate is equal to the abscissa.