Home
Class 12
MATHS
A parabola with a vertical axis has its ...

A parabola with a vertical axis has its vertex at the origin and passes through point (7,7). The parabola intersects line y=6 at two points. The length of the segment joining these points is

A

14

B

13

C

12

D

8.6

Text Solution

Verified by Experts

The correct Answer is:
B
The equation of a vertical parabola with its vertex at the origin has the form `y=ax^(2)` substitute (7,7) for x and y to find `a=(1)/(7)`. When `y=6,x^(2)=42`. Therefore, `x=+-sqrt(42)`, and the segment`=2sqrt(42)~~13`.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC FUNCTIONS

    ENGLISH SAT|Exercise EXERCISES|7 Videos

  • PROBLEMS IN CONTEXT

    ENGLISH SAT|Exercise PRACTICE TEST|10 Videos

  • RATIONAL FUNCTIONS

    ENGLISH SAT|Exercise EXERCISES|5 Videos

Similar Questions

Explore conceptually related problems

The mid point of the line segment joining the points (-5, 7) and (-1, 3) is

Find the mid-point of the line segment joining the points : (-6, 7) and (3, 5)

Find the equation of the parabola with vertex at the origin, passing through the point (-2,-3) and symmetric about the y axis.

Find the slope of the line which passes through the origin and the mid-point of the line segment joining the points A (0, -4) and B (8, 0) .

Equation of parabola which has its axis along x-axis and which passes through the points (3,2) and (-2, -1) is

A line L passing through the focus of the parabola (y-2)^(2)=4(x+1) intersects the two distinct point. If m be the slope of the line I,, then

Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P(0, -4) and B(8, 0) .

The equation of the parabola whose vertex is origin axis along x-axis and which passes through the point (-2,4) is

The slope of a line which passes through the origin the mid-point of the line segment joining the points (0,-4) and (8,0) is

The parabola y^(2) = 2ax passes through the point (-2,1) .The length of its latus rectum is