Home
Class 12
MATHS
The point diametrically opposite to t...

The point diametrically opposite to the point P (1, 0) on the circle `x^2+""y^2+""2x""+""4y-3""=""0` is (1) `(3,-4)` (2) `(-3,""4)` (3) `(-3,-4)` (4) `(3,""4)`

Text Solution

AI Generated Solution

To find the point diametrically opposite to the point \( P(1, 0) \) on the circle given by the equation \( x^2 + y^2 + 2x + 4y - 3 = 0 \), we can follow these steps: ### Step 1: Rewrite the circle equation in standard form The general equation of a circle is given by: \[ x^2 + y^2 + 2gx + 2fy + c = 0 \] From the given equation \( x^2 + y^2 + 2x + 4y - 3 = 0 \), we can identify: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|6 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

The point diametrically opposite to the point (-3, -4) on the circle x^(2)+y^(2)+2x+4y-3=0 is :

The point diametrically opposite to the point (6, 0) on the circle x^(2) +y^(2)-4x+6y-12=0 is :

The point diametrically opposite to the point (-3, -4) on the circle x^(2) + y^(2) + 2x + 4y - 3 = 0 is (i) (3, - 4) (ii) (- 3, 4) (iii) (1, 0) (iv) (3, 4)

Find the centre and radius of the circle 3x^(2)+ 3y^(2) - 6x + 4y - 4 = 0

Tangents drawn from the point (4, 3) to the circle x^(2)+y^(2)-2x-4y=0 are inclined at an angle

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

Find the parametric equation of the circles : 3x^2 + 3y^2 + 4x-6y - 4 = 0

The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-2) to is

The points of intersection of the line 4x-3y-10=0 and the circle x^2+y^2-2x+4y-20=0 are ________ and ________

Show that the point of intersection of the line 4x-3y-10=0 and the circle x^(2)+y^(2)-2x+4y-20=0 are (-2,-6) & (4,2)