Let P be the point on the parabola, y2=8xwhich is at a minimum distance from the centre C of the circle,x2+(y+6)2=1.Then the equation of the circle, passing through C and having its centre at P is :
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If the points A(4,3)andB(x,5)are on the circle with centre O(2,3),find the value of x˙
If the points P(−3,9),Q(a,b) and R(4,−5) are collinear and a+b=1, find the values of a and b.
Point P divides the line segment joining the points A(2,1) and B(5,−8) such that ABAP=31. If P lies on the line 2x−y+k=0, find the value of k.
Using the distance formula, show that the given points are collinear.(−2,5),(0,1) and (2,−3).
The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is
In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, Dont you think ABCD is a square? Chameli disagrees. Using distance formula, find which of them is correct. why?
The common tangents to the circle x2+y2=2 and the parabola y2=8x touch the circle at P,Q andthe parabola at R,S. Then area of quadrilateral PQRS is
If the points A(4,3) and B(x,5) lie on the circle with centre O(2,3), find the value of x.