Tangents OP and OQ are drawn from th...

Tangents `OP` and `OQ` are drawn from the origin o to the circle `x^2 + y^2 + 2gx + 2fy+c=0.` Find the equation of the circumcircle of the triangle `OPQ`.

`((-g)/(2), (-f)/(2))`

`(g, f)`

`(-f, -g)`

`(f, g)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CONIC SECTIONS
AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
CONIC SECTIONS
AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
CONIC SECTIONS
AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 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

Tangents OP and OQ are drawn from the origin O to the circle x^(2) +y^(2) + 2gx + 2fy +c =0 . Then the equation of the circumcircle of the triangle OPQ is :

Tangents OA and OB are drawn from the origin to the circle (x-1)^2 + (y-1)^2 = 1 . Then the equation of the circumcircle of the triangle OAB is : (A) x^2 + y^2 + 2x + 2y = 0 (B) x^2 + y^2 + x + y = 0 (C) x^2 + y^2 - x - y = 0 (D) x^2+ y^2 - 2x - 2y = 0

If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 , then

Tangent PQ and PR are drawn to the circle x^2 + y^2 = a^2 from the pint P(x_1, y_1) . Find the equation of the circumcircle of DeltaPQR .

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

A pair of tangents are drawn from the origin to the circle x^(2)+y^(2)+20(x+y)+20=0 Then find its equations.

If tangents are drawn from origin to the circle x^(2)+y^(2)-2x-4y+4=0, then

Tangents drawn from the origin to the circle x^(2)+y^(2)+2gx+2fy+f^(2)=0 are perpendicular if

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B

Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...
Text Solution
|
If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...
Text Solution
|
Tangents OP and OQ are drawn from the origin o to the circle x^2 ...
Text Solution
|
The equation of the circle which passes through (2a, 0) and has the ra...
Text Solution
|
The equation of the locus of the mid-points of chords of the circle 4x...
Text Solution
|
Area of a circle in which a chord of length sqrt(2) makes an angle (pi...
Text Solution
|
If 3x + b(1)y + 5 =0 and 4x + b(2)y + 10 = 0 cut the x-axis and y-axis...
Text Solution
|
If the circle x^(2) + y^(2) -4x - 8y + 16 =0 rolls up the tangent to i...
Text Solution
|
If two tangents are drawn from a point to the circle x^(2) + y^(2) =3...
Text Solution
|
The radical centre of three circles described on the three sides 4x-7y...
Text Solution
|
Find the equation of the circle passing through (1,0)a n d(0,1) and ha...
Text Solution
|
A line meets the co-ordinates axes at A(a, 0) and B(0, b) A circle is ...
Text Solution
|
If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...
Text Solution
|
A circle of constant radius r passes through the origin O, and cuts th...
Text Solution
|
The point of intersection of the lines x - y + 1 = 0 and x + y + 5 = 0...
Text Solution
|
The equation of one of the circles which touch the pair of lines x^2 -...
Text Solution
|
If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...
Text Solution
|
The number of points (a + 1a) where a in I, lying inside the region bo...
Text Solution
|
Four distinct points (a, 0), (0, b), (c , 0) and (0, d) are lie on a ...
Text Solution
|
The length of the chord of the parabola y^(2) = 12x passing through th...
Text Solution
|