Advertisements
Advertisements
प्रश्न
Find the locus of a point P that moves at a constant distant of three units from the y-axis
उत्तर
Three units from y-axis:
Let (h, k) be any point on the required path.
From the given data,
We have h = 3.
The locus of P(h, k) is obtained by replacing h by x and k by y.
∴ The required locus is x = 3
APPEARS IN
संबंधित प्रश्न
Find the locus of P, if for all values of α, the co-ordinates of a moving point P is (9 cos α, 6 sin α)
Find the locus of a point P that moves at a constant distant of two units from the x-axis
If θ is a parameter, find the equation of the locus of a moving point, whose coordinates are x = a cos3θ, y = a sin3θ
Find the value of k and b, if the points P(−3, 1) and Q(2, b) lie on the locus of x2 − 5x + ky = 0
Find the equation of the locus of a point such that the sum of the squares of the distance from the points (3, 5), (1, −1) is equal to 20
Find the equation of the locus of the point P such that the line segment AB, joining the points A(1, −6) and B(4, −2), subtends a right angle at P
If O is origin and R is a variable point on y2 = 4x, then find the equation of the locus of the mid-point of segment OR
If R is any point on the x-axis and Q is any point on the y-axis and P is a variable point on RQ with RP = b, PQ = a. then find the equation of locus of P
If the points P(6, 2) and Q(– 2, 1) and R are the vertices of a ∆PQR and R is the point on the locus y = x2 – 3x + 4, then find the equation of the locus of centroid of ∆PQR
The sum of the distance of a moving point from the points (4, 0) and (−4, 0) is always 10 units. Find the equation of the locus of the moving point
Choose the correct alternative:
The equation of the locus of the point whose distance from y-axis is half the distance from origin is
Choose the correct alternative:
Which of the following equation is the locus of (at2, 2at)
Choose the correct alternative:
Which of the following point lie on the locus of 3x2 + 3y2 – 8x – 12y + 17 = 0
Choose the correct alternative:
If the point (8,−5) lies on the locus `x^2/1 - y^2/25` = k, then the value of k is