Question

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

Solution

Correct option is

   

So the coordinate of R are 

SIMILAR QUESTIONS

Q1

Given the equation  through what angle should the axes be rotated so that the term in xy be waiting from the transformed equation. 

Q2

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

Q3

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

Q4

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

Q5

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 

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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