Let P(4, -4) and Q(9, 6) be two points on the parabola, y 2 = 4x and let x be any point…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
Let P(4, -4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of ΔPXQ is maximum, Then this maximum area (in sq. units) is:
- \(\frac{625}{4}\)
- \(\frac{125}{4}\)
- \(\frac{75}{2}\)
- \(\frac{125}{2}\)
Answer
(B) 125 4
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If orthocentre and circumcentre of a triangle are respectively (1, 1) and (3, 2), then the coordinates of its…
- The equation | r |^ 2 - r [2 i +4 j -2 k ]-10=0 represents a
- If the line 2 x+3 y=1 touches the parabola ^ 2 = 4 a at the point P , then find the focal distance of the…
- The point of contact of the line 2 x+ 6 y=2 and the hyperbola x^ 2 -2 y^ 2 =4 is,
- The equation of ellipse whose axes are coincident with the coordinate axes and which touches the straight…
- A ray of light along x+ 3 y= 3 gets reflected upon reaching x-axis, the equation of the reflected ray is
- If O is the origin and Q is a variable point on y 2 = x. Find the locus of the mid-point of OQ.
- Two common tangents to the circle x^ 2 +y^ 2 =2 a^ 2 and parabola y^ 2 =8 a x are,
More Co-ordinate Geometry questions · Browse all practice questions