if sum of two sides of a triangle is x a...

if sum of two sides of a triangle is x and the product of those sides is y and third side is c such that `x^2 -c^2 =y` then circum radius of `Delta` is (A) `y/sqrt3` (B) `c/sqrt3` (C) `(3y)/4` (D)` (3c)/4`

Topper's Solved these Questions

JEE MAIN
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
LIMITS AND DERIVATIVES
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

In a triangle the sum of two sides is x and the product of the same is y. If x^2 - c^2 = y where c is the third side. Determine the ration of the in-radius and circum-radius

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

Find the orthocentre of the triangle the equations of whose sides are x+y=1,2x+3y=6 and 4x-y+4=0.

Each side of an equilateral triangle is equal to the radius of a circle whose area is 154\ c m^2dot The area of the triangle is (a) (7sqrt(3))/4\ c m^2 (b) (49sqrt(3))/2\ c m^2 (c) (49sqrt(3))/4\ c m^2 (d) (7sqrt(3))/2\ c m^2

In a triangle, the lengths of the two larger sides are 10 and 9, respectively. If the angles are in A.P, then the length of the third side can be (a) 5-sqrt(6) (b) 3sqrt(3) (c) 5 (d) 5+sqrt(6)

Find the vertices and the area of the triangle whose sides are x=y, y=2x and y=3x+4 .

Find the vertices of the triangle whose sides are y+2x=3, 4y+x=5 and 5y+3x=0

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is sqrt((20)/3) (b) 2/(sqrt(15)) sqrt(8/(15)) (d) sqrt((15)/2)

The ratio of the area of a square of side a and that of an equilateral triangle of side a , is (a) 2:1\ (b) 2:sqrt(3)\ (c) 4:3 (d) 4:sqrt(3)

The perimeter of a triangle is 8y^(2) - 9y + 4 and its two sides are 3y^(2) - 5y and 4y^(2) + 12 . Find its third side.

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions

Let f(x)={(-,1, -2lexlt0),(x^2,-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) the...
Text Solution
|
The system of linear equations x+2y+4z=a, 3x-y+5z=b, 2x-3y+z=c have mo...
Text Solution
|
if sum of two sides of a triangle is x and the product of those sides ...
Text Solution
|
The equation of common tangent to the curves y^2 =4x and xy=2 is ...
Text Solution
|
If x satisfies the condition f(x)={x:x^2+3 0le11x} then maximum value ...
Text Solution
|
Out of 30 observation 10 are 1/2+d, 10 are 1/2 and other 10 are 1/2-d ...
Text Solution
|
Value of r for which expression ^20Cr ^20C0+^20C(r-1) ^20C1+^20C(r-2)^...
Text Solution
|
((p^^q)vv(pvv~q))^^(~p^^~q)) is equivalent to (A) ~p^^~q ...
Text Solution
|
Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...
Text Solution
|
A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...
Text Solution
|
A hyperbola is given with its vertices at (-2,0) and (2,0) one of the ...
Text Solution
|
Let fk=(1+2+3+...+k)/k Also is f1^2+f2^2+f3^2+...+f10^2=5/12N, then th...
Text Solution
|
If hati+hatj+muhatk, muhati+hatj+hatk, hati+muhatj+hatk are coplanar v...
Text Solution
|
y^2 = 4x be the parabola and the points A(9,6), B(4,-4) lie on the par...
Text Solution
|
Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...
Text Solution
|
The area bounded by the region between curves y=x^2 +2, x=0, x=3, y=x+...
Text Solution
|
lim(x→0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 ...
Text Solution
|
If (cot^-01 x)^2 -7(cot^-1 x)+10gt0 then range of x will be ...
Text Solution
|
In a hyperbola, length of minor axis is 5 and distance between focii i...
Text Solution
|
y^2+4(x−a^2)=0. One of the vertexes of Delta'(Delta) is a vertex of ...
Text Solution
|