The area of the triangle inscribed in th...

The area of the triangle inscribed in the parabola `y^(2)=4x` the ordinates of whose vertices are 1, 2 and 4 square units, is

`7/2`

`5/2`

`3/2`

`3/4`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PARABOLA
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
PARABOLA
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos
PAIR OF STRAIGHT LINES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos
PERMUTATIONS AND COMBINATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If y_(1),y_(2),andy_(3) are the ordinates of the vertices of a triangle inscribed in the parabola y^(2)=4ax , then its area is

Find the area of the triangle, whose vertices are (2,1), (4,5) and (6,3).

The point of intersection of normals to the parabola y^(2) = 4x at the points whose ordinates are 4 and 6 is

Find the area of the triangle whose vertices are (3,8), (-4,2) and (5, -1).

An equilateral triangle is inscribed in the parabola y^(2) = 8x with one of its vertices is the vertex of the parabola. Then, the length or the side or that triangle is

An equilateral triangle is inscribed in the parabola y^(2)=4ax whose vertex is at the vertex of the parabola .Find the length of its side.

The length of the side of an equilateral triangle inscribed in the parabola, y^2=4x so that one of its angular point is at the vertex is:

Area of the equilateral triangle inscribed in the parabola y^2 = 4x , having one vertex at the vertex of the parabola is (A) 48 sq. untis (B) 48sqrt(3) sq. units (C) 16sqrt(3) sq. untis (D) none of these

Find the area of the triangle whose vertices are (3, 8) , (-4, 2) and (5, 1) .

If y_1, y_2, y_3 be the ordinates of a vertices of the triangle inscribed in a parabola y^2=4a x , then show that the area of the triangle is 1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot

OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise

The coordinates of the focus of the parabola x^(2)-4x-8y-4=0
Text Solution
|
If y1, y2, y3 be the ordinates of a vertices of the triangle inscri...
Text Solution
|
The area of the triangle inscribed in the parabola y^(2)=4x the ordina...
Text Solution
|
The length of the latusrectum of the parbola whose focus is (3, 3) and...
Text Solution
|
The length of the latus rectum of the parabola whose focus is ((u^2)/(...
Text Solution
|
PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of it...
Text Solution
|
If the segment intercepted by the parabola y=4a x with the line l x+m ...
Text Solution
|
The length of a focal chord of the parabola y^2=4ax making an angle th...
Text Solution
|
Show that the parametric point (2+t^(2),2t+1) represents a parabola. S...
Text Solution
|
The ratio in which the line segment joining the point (4, -6) and (3, ...
Text Solution
|
If (a , b) is the midpoint of a chord passing through the vertex of th...
Text Solution
|
If the vertex and focus of a parabola are (3,3) and (-3,3) respectivel...
Text Solution
|
about to only mathematics
Text Solution
|
If y(1),y(2) are the ordinates of two points P and Q on the parabola ...
Text Solution
|
If the line x + y = 1 touches the parabola y^2-y + x = 0, then the coo...
Text Solution
|
Find the locus of the foot of the perpendiculars drawn from the vertex...
Text Solution
|
Equation of line touching both the parabolas y^2=4x & x^2=-32y
Text Solution
|
If t is the parameter for one end of a focal chord of the parabola y^2...
Text Solution
|
Find the equation of normal to the parabola y^2=4axat point (at^2, 2at...
Text Solution
|
Normal at the point P(a p^2,2a p) meets the parabola y^2=4a x again at...
Text Solution
|