A point P moves such that the chord of contact of P with respect to the circle x 2 + y 2 = 4 passes through the point 1 , 1 . The coordinates of P when it is nearest to the origin are

Question

A point P moves such that the chord of contact of P with respect to the circle x 2 + y 2 = 4 passes through the point 1 , 1 . The coordinates of P when it is nearest to the origin are, 1 , 2, 2 , 2, 3 , 3, 2 , 2

MARKS App · Accepted Answer

Let, the point P be a , b then Equation of the chord of contact is x a + y b = 4 Since, it passes through 1 , 1 so, a + b = 4 ⇒ x + y = 4 is the locus of the point P . Hence, the nearest point on x + y = 4 is 2 , 2 .

Search any question & find its solution

Looking for more such questions to practice?