The sides of a triangle are 3x + 4y, 4x ...

The sides of a triangle are `3x + 4y, 4x + 3y` and `5x+5y` units, where `x gt 0, y gt 0`. The triangle is

right angled

obtuse angled

equilateral

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|97 Videos
PLANE AND STRAIGHT LINE IN SPACE
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos
REAL FUNCTIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

The equaiton of the lines representing the sides of a triangle are 3x - 4y =0 , x+y=0 and 2x - 3y = 7 . The line 3x + 2y = 0 always passes through the

The sides of a triangle are given by x-2y+9=0, 3x+y-22=0 and x+5y+2=0 . Find the vertices of the triangle.

The sides of a triangle are given by the equations 3x+4y=10, 4x-3y=5, and 7x+y+10=0 , show that the origin lies within the triangle.

The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 and x =3 . Let (h, k) be the centre of the circle inscribed in triangleABC . The value of (h+ k) equals

The coordinates of the vertices of a triangle are (4, -3), (-5, 2) and (x, y). If the centroid of the triangle is at the origin, show that x=y=1 .

If two sides of a triangle are represented by 2x-3y+4=0 and 3x+2y-3=0 , then its orthocentre lies on the line : (A) x-y+ 8/15 = 0 (B) 3x-2y+1=0 (C) 9x-y+9/13 = 0 (D) 4x+3y+5/13=0

In triangle A B C , the equation of side B C is x-y=0. The circumcenter and orthocentre of triangle are (2, 3) and (5, 8), respectively. The equation of the circumcirle of the triangle is a) x^2+y^2-4x+6y-27=0 b) x^2+y^2-4x-6y-27=0 c) x^2+y^2+4x-6y-27=0 d) x^2+y^2+4x+6y-27=0

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

The base and the altitude of a triangle are (3x - 4y) and (6x + 5y) respectively. Find its area.

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test

Find the sum of the radii of the circles, which are respectively inscr...
Text Solution
|
If 0 lt x lt pi/2 then
Text Solution
|
The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x ...
Text Solution
|
The perimeter of a triangle is 16 cm. One ofthe sides is of length 6 c...
Text Solution
|
In a triangleABC," if "(a)/(b^(2)-c^(2))+(c)/(b^(2)-a^(2))=0," then "a...
Text Solution
|
In a triangleABC, a^(2) sin 2C+c^(2) sin 2A=
Text Solution
|
Prove that (cos C + cos A)/(c + a) + (cos B)/(b) = (1)/(b)
Text Solution
|
If the sides of triangle a, b, c be in A.P. then tan.(A)/(2)+tan.(C )/...
Text Solution
|
In a triangle ABC, cos A+cos B+cos C=
Text Solution
|
if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.
Text Solution
|
Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) +...
Text Solution
|
The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...
Text Solution
|
In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=
Text Solution
|
In a triangleABC, if a,c,b are in A.P. then the value of (a cos B-b co...
Text Solution
|
If a DeltaABC is right angled at B, then the diameter of the incircle ...
Text Solution
|
The angle of a right-angled triangle are in AP. Then , find the ratio ...
Text Solution
|
The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...
Text Solution
|
In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...
Text Solution
|
In a triangleABC"if c"=(a+b) sin theta and cos theta=(ksqrtab)/(a+b),"...
Text Solution
|
In triangleABC," if"(s-a)/(Delta)=1/8, (s-b)/(Delta)=1/12 and (s-c)/(D...
Text Solution
|