Question

Locus of the point P(2t2 + 2, 4t + 3), where t is a variable is

Solution

Correct option is

(y – 3)2 = 8(– 2)

x = 2t2 + 2, y = 4t + 3   (y – 3)2 = 8(– 2)

SIMILAR QUESTIONS

Q1

Find the locus of the point of intersection of the lines and  where α is variable.

Q2

Find the locus of a point whose co – ordinate are given by t2= 2+ 1, where is variable.

Q3

The points (a, b + c), (b, c + a) and (c, a + b) are

Q4

O(0, 0), P(–2, –2) and Q(1, –2) are the vertices of a triangle, R is a point on PQ such that PR : RQ 

Q5

If three vertices of a rectangular are (0, 0), (a, 0) and (0, b), length of each diagonal is 5 and the perimeter 14, then the area of the rectangle is

Q6

If the line joining the points A(a2, 1) and B(b2, 1) is divides in the ratio b : a at the pint P whose x-coordinate is 7, their

Q7

If two vertices of a triangle are (3, –5) and (–7, 8) and centroid lies at the pint (–1, 1), third vertex of the triangle is at the point (a, b) then

Q8

α is root of the equation x2 – 5x + 6 = 0 and β is a root of the equation x2– x – 30 = 0, then coordinates  of the point P farthest from the origin are

Q9

 are two points whose mid-point is at the origin.  is a point on the plane whose distance from the origin is

Q10

If the coordinates of An are (n, n2) and the ordinate of the center of mean position of the points A1A2, … An is 46, then n is equal to