Points `A and B` lie on the parabola `y = 2x^2 + 4x - 2,` such that origin is the mid-point of the linesegment `AB.` If `I` be the length of the line segment `AB,` then find the unit digit of `l^2.`
Text Solution
Verified by Experts
The correct Answer is:
8
Topper's Solved these Questions
PARABOLA
VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|2 Videos
MATRICES
VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|5 Videos
PERMUTATION AND COMBINATIONS
VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|13 Videos
Similar Questions
Explore conceptually related problems
In figure l||m and M is the mid-point of the line segment AB. Prove that M is also the mid-point of line segment CD.
The mid-point of the line-segment AB is P(0,4). If the coordinates of B are (-2, 3) then the co-ordinates of A are
The points A(3, 6) and B lie on the parabola y^(2)=4ax , such that the chord AB subtends 90^(@) at the origin, then the length of the chord AB is equal to
If P is point on the parabola y ^(2) =8x and A is the point (1,0), then the locus of the mid point of the line segment AP is
In the figure P(3, 2) is the mid-point of the line segment AB. What are the co-ordinates of A and B respectively:
A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is
In the given figure,P(4,2) is mid-point of line segment AB. Find the co-ordinates of A and B.
Find the position vector of the mid point of the ne segment AB, where A is the point (3,4,-2 and B is the point (1,24)
VK JAISWAL-PARABOLA-Exercise-5 : Subjective Type Problems
