If x_ 1 , x_ 2 , x_ 3 as well as V_ 1 , V_ 2 , V_ 3 are in GP with same common ratio…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
If \(x_{1}, x_{2}, x_{3}\) as well as \(V_{1}, V_{2}, V_{3}\) are in GP with same common ratio, then the points \(P^{\mathrm{P}}\left(x_{1}, Y_{1}\right), Q\left[x_{2}, Y_{2}\right] \text { and } R\left[x_{3}, Y_{1}\right]\),
- lie on a straight line
- lie on an ellipse
- lie on a circle
- are vertices of a triangle
Answer
(A) lie on a straight line
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The locus of the centre of a circle, which touches externally the circle x 2 +y 2 –6x –6y +14 =0 and also…
- If the equation of the tangent to the circle x 2 + y 2 – 2x + 6y – 6 = 0 parallel to 3x – 4y + 7 = 0 is 3x –…
- Find the equation of tangents to the ellipse 4 x^ 2 +3 y^ 2 =5 , which are parallel to the line 3 x-y+7=0 .
- The points on the ellipse x^ 2 a^ 2 + y^ 2 b^ 2 =1 , such that the tangent at that point makes equal angles…
- The name of the curve described parametrically by the equations x = t 2 + t + 1, y = t 2 – t + 1 is
- The line joining two points A (2, 0); B (3, 1) is rotated about A in the anticlockwise direction through an…
- A variable circle passes through the fixed point A (p, q) and touches x - axis. The locus of the other end of…
- The abscissae and ordinates of the points A and B are the roots of the equations x 2 + 2ax + b = 0 and x 2 +…
More Co-ordinate Geometry questions · Browse all practice questions