The ratio in which the line segement joi...

The ratio in which the line segement joining the points `(4,-6)` and `(3,1)` is divided by the parabola `y^2=4x` is (a) `(-20+-sqrt(155))/(11):1` (b) `(-20+-sqrt(155))/(11):2` (c) `-20+-2sqrt(155): 11` (d) `-20+-sqrt(155): 11`

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE PUBLICATION|Exercise All Questions|877 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the ratio into which the line segment obtained by joining the points (-1, 2) and (4, -5) is divided at (-11, 16).

Determine the ratio into which the line segment joining the points (-1, 2) and (4, -5) are intersected at the point (-11, 16).

Find the ratio into which the line segment obtained by joining the points (4, 7) and (1, -2) at a point (-5, -20).

Find the ratio in which the point (-5,-20) divides the line -segment joining the points (4,7) and (1,-2) .

Find the ratio in which the point (-11,16) divides the line segment joining the points (-1,2) and (4,-5) .

The length of projection of the line segment joining the points (1,0,-1)a n d(-1,2,2) on the plane x+3y-5z=6 is equal to a. 2 b. sqrt((271)/(53)) c. sqrt((472)/(31)) d. sqrt((474)/(35))

The length of projection of the line segment joining the points (1,0,-1) and (-1,2,2) on the plane x+3y-5z=6 is equal to a. 2 b. sqrt((271)/(53)) c. sqrt((472)/(31)) d. sqrt((474)/(35))

If the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3 : 2 , then k equals _

Prove that the xy-plane divides the line-segment joining the points A(2 , 1 , 3) and B ( 1, - 3, -4) in the ratio 3 : 4 at the point ((11)/(7),-(5)/(7),0)

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions

A set of parallel chords of the parabola y^2=4a x have their midpoint ...
Text Solution
|
A line L passing through the focus of the parabola y^2=4(x-1) intersec...
Text Solution
|
The ratio in which the line segement joining the points (4,-6) and (3,...
Text Solution
|
If (a , b) is the midpoint of a chord passing through the vertex of th...
Text Solution
|
A water jet from a fountain reaches its maximum height of 4 m at a dis...
Text Solution
|
The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...
Text Solution
|
A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2...
Text Solution
|
The locus of the point (sqrt(3h),sqrt(3k+2)) if it lies on the line x-...
Text Solution
|
If the segment intercepted by the parabola y^2=4a x with the line l x+...
Text Solution
|
The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the (a)...
Text Solution
|
Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, (a) C1 and C...
Text Solution
|
Let the curve C be the mirror image of the parabola y^2 = 4x with resp...
Text Solution
|
Let S be the focus of the parabola y^2=8x and let PQ be the common cho...
Text Solution
|
Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...
Text Solution
|
Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...
Text Solution
|
Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...
Text Solution
|
If the normals to the parabola y^2=4a x at three points (a p^2,2a p), ...
Text Solution
|
Normals A O ,A A1a n dA A2 are drawn to the parabola y^2=8x from the p...
Text Solution
|
If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is ...
Text Solution
|
The length of the latus rectum of the parabola whose focus is a. ((u...
Text Solution
|