Using properties of determinants, show t...

Using properties of determinants, show that ABC is isosceles if `|(1,1,1),(1+cosA,1+cosB,1+cosC),(cos^2A+cosA,cos^2B+cosB,cos^2C+cosC)|=0`

Text Solution

AI Generated Solution

Topper's Solved these Questions

EXAM REVISION SERIES
XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Using properties of determinants, show that triangle ABC is isosceles, if : |(1,1,1),(1+cosA, 1+cosB, 1+cosC),(sqrecosA+cosA, cossqrB+cosB, cossqurC+cosC)| =0

Show that DeltaABC is an isosceles triangle, if the determinant Delta=|(1,1,1),(1+cosA,1+cosB,1+cosC),(cos^(2)A+cosA,cos^(2)B+cosB,cos^(2)C+cosC)|=0 .

(a+b+c)(cosA+cosB+cosC)

Using properties of determinant. Prove that |[sinA,cosA,sinA+cosB],[sinB,cosA,sinB+cosB],[sinC,cosA,sinC+cosB]|=0

a(cosC-cosB)=2(b-c)cos^2A/2

In a A B C ,if|1 1 1 1+cosA 1+cosB 1+cosC cos^2A+A cos^2B+cosB cos^2C+cosC|=0 show that A B C is an isosceles.

If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

In a triangle ABC, prove that: cos^4A+cos^4B+cos^4C= 3/2 + 2 cosA cosB cosC+ 1/2 cos 2A cos2B cos2C

In any A B C ,2(bc cosA+ ca cosB+ab cosC) =

If |(cos(A+B),-sin(A+B),cos2B),(sinA,cosA,sinB),(-cosA,sinA,cosB)|=0 then B =

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions

Three machinesE1, E2 and E3 in a certain factory producing electric...
Text Solution
|
A shopkeeper has 3 varieties of pens ‘A’, ‘B’ and ‘C’. Meenu purcha...
Text Solution
|
Using properties of determinants, show that ABC is isosceles if |(1,1,...
Text Solution
|
A trust invested some money in two type of bonds. The first bond pays...
Text Solution
|
If cos^(-1)(x/a) + cos^(-1) (y/b) = a show that : (x^2)/(a^2) - (2xy...
Text Solution
|
Find : int(3x+1)sqrt(4-3x-2x^2)dx
Text Solution
|
Form the differential equation of the family of circles in the second ...
Text Solution
|
Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)
Text Solution
|
Prove that the least perimeter of an isosceles triangle in which a cir...
Text Solution
|
Evaluate: int(x^2)/(x^4+x^2-2)\ dx
Text Solution
|
If the sum of lengths of hypotenuse and a side of a right angled tr...
Text Solution
|
Find the position vector of the foot of perpendicular and the perpe...
Text Solution
|
Prove that the curves y^2=4x and x^2=4y divide the area of square b...
Text Solution
|
Evaluate the following int0^(3/2)|xcospix\ |\ dxdot
Text Solution
|
Evaluate : int0^(pi/2)(sin^2x)/(sin x+cos x)dx
Text Solution
|
In a game, a man wins Rs. 5 for getting a number greater than 4 and ...
Text Solution
|
An urn contains 4 balls. Two balls are drawn at random from the urn...
Text Solution
|
There are two types of fertilisers A and B. A consists of 12% nitro...
Text Solution
|
Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x
Text Solution
|
Five bad oranges are accidently mixed with 20 good ones. If four or...
Text Solution
|