Home
Class 12
MATHS
Let the equation of the circle is x^(2) ...

Let the equation of the circle is `x^(2) + y^(2) - 2x-4y + 1 = 0` A line through `P(alpha, -1)` is drawn which intersect the given circle at the point A and B. if PA PB has the minimum value then the value of `alpha` is.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - H ( Multiple True-False Type Questions )|5 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -I ( Subjective Type Questions )|23 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -F ( Matrix-Match Type Questions )|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

A line drawn through the point P(4,7) cuts the circle x^(2)+y^(2)=9 at the points A and B .Then PA.PB is equal to:

If the circles x ^(2) + y ^(2) + 5x -6y-1=0 and x ^(2) + y^(2) +ax -y +1=0 intersect orthogonally (the tangents at the point of intersection of the circles are at right angles), the value of a is

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

If (alpha,alpha) is a point on the circle whose centre is on the x -axis and which touches the line x+y=0 at (2,-2), then the greatest value of 'alpha' is

Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x - 4y -11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2)=9 at A and B. Then PA.PB is equal to

A straight line is drawn through the centre of the circle x^(2)+y^(2)-1ax=0 parallel to the straight line x+2y=0 and intersection the circle at A and B. Then the area of AOB is