The equation of the tangents to the circle x 2 + y 2 = 4, which are parallel to x + 2y +…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The equation of the tangents to the circle x2 + y2 = 4, which are parallel to x + 2y + 3 = 0, are
- x – 2y = 2
- \(x+2 y= \pm 2 \sqrt{3}\)
- \(x+2 y= \pm 2 \sqrt{5}\)
- \(x-2 y= \pm 2 \sqrt{5}\)
Answer
(C) x+2 y= 2 5
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The equation of the circle passing through (1, 1) and the points of intersection of x^ 2 +y^ 2 +13 x-3 y=0…
- The minimum area of a triangle formed by any tangent to the ellipse x^ 2 16 + y^ 2 81 =1 and the co-ordinate…
- If and are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of…
- P and Q are any two points on the circle x^ 2 +y^ 2 =4 such that PQ is a diameter. If and are the lengths of…
- If the vertices of a triangle are [a t_ 1 t_ 2 , a (t_ 1 +t_ 2 ) ], [a t_ 2 t_ 3 , a (t_ 2 +t_ 3 ) ], [a t_ 3…
- If the tangents on the ellipse 4 x^ 2 +y^ 2 =8 at the points (1, 2) and (a, b) are perpendicular to each…
- If P=(x, y), F_ 1 =(3,0), F_ 2 =(-3,0) and 16 x^ 2 +25 y^ 2 =400 , then P F_ 1 +P F_ 2 equals
- The coordinates of an end-point of the latus-rectum of the parabola (y–1) 2 = 4(x+1) are
More Co-ordinate Geometry questions · Browse all practice questions