If |(a^2,b^2,c^2),((a+lambda)^2,(b+lambd...

If `|(a^2,b^2,c^2),((a+lambda)^2,(b+lambda)^2,(c+lambda)^2),((a-lambda)^2,(b-lamda)^2,(c-lambda)^2)|=klambda|(a^2,b^2,c^2),(a,b,c),(1,1,1)|lambda!=0` then `k` is equal to :

`4lambda abc`

`-4lambda^(2)`

`4lambda^(2)`

`-4lambda abc`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

JEE MOCK TEST 1
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
JEE MOCK TEST 11
NTA MOCK TESTS|Exercise MATH|25 Videos

Similar Questions

Explore conceptually related problems

If det[[1,a,bc1,b,ac1,c,ab]]=lambdadet[[a^(2),b^(2),c^(2)a,b,c1,1,1]] then lambda is equal

If [(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C, where A, B and C are matrices then A+B=

If [(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C , where A, B and C are matrices then find matrices B and C.

If p lambda^(4) + q lambda^(3) + r lambda^(2) + s lambda + t = |{:(b^(2)+c^(2), a^(2) + lambda , a^(2) + lambda),(b^(2)+lambda,c^(2)+a^(2),b^(2)+lambda),(c^(2)+lambda,c^(2)+lambda,a^(2)+b^(2)):}| is an identity in lambda wherep, q, r,s , t are constants, then the value of t is

If |[lambda^(2),-lambda,2 lambda-1],[lambda+2,1-lambda,lambda],[lambda+2,lambda+1,-lambda]|=a lambda^(4)+b lambda^(3)+c lambda^(2)+d lambda+e Then values of a, b, c, d and e are.

If b-c,2b-lambda,b-a " are in HP, then " a-(lambda)/(2),b-(lambda)/(2),c-(lambda)/(2) are is

If a lambda^(4)+b lambda^(3)+c lambda^(2)+d lambda+e=|[lambda^(2)-3,lambda-1,lambda+sqrt(3)],[lambda^(2)+lambda,2 lambda-4,3 lambda+1],[lambda^(2)-3 lambda,3 lambda+5,lambda-3]| then |a| equals

If a lambda^(4)+b lambda^(3)+c lambda^(2)+d lambda+e = |[lambda^(2)-3,-1,lambda+sqrt(3)],[lambda^(2)+lambda,2 lambda-4,3 lambda+1],[lambda^(2)-3 lambda,3 lambda+5,lambda-3]| then |a| equals

If y=mx+c be a tangent to the hyperbola (x^(2))/(lambda^(2))-(y^(2))/((lambda^(3)+lambda^(2)+lambda)^(2))=1,(lambda!=0), then

|[a^(2)+lambda^(2),ab+c lambda,ca-b lambdaab-c lambda,b^(2)+lambda^(2),bc+aca+b lambda,bc-a lambda,c^(2)+lambda^(2) then he value of lambda is 8 b.27, c.1 d.-1=(1+a^(2)+b^(2)+c^(2))^(3)

NTA MOCK TESTS-JEE MOCK TEST 10-MATH

If p = sin^(2)x + cos^(4)x, then
Text Solution
|
If p rArr (q vee r) is false, then the truth values of p, q, r ar...
Text Solution
|
A box contains tickets numbered 1 to N. n tickets are drawn from the b...
Text Solution
|
The coordinates of the focus of the parabola described parametrically ...
Text Solution
|
The rate of change of sqrt(x^2+16) with respect to x/(x-1) at x=3 is
Text Solution
|
If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|
Text Solution
|
Let a,b,c are respectively the sums of the first n terms, the next n t...
Text Solution
|
The function f(x)={x} sin (pi[x]), where [.] denotes the greatest inte...
Text Solution
|
There are number of seats and m number of people have to be seated, th...
Text Solution
|
Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0^1(cosx)/(sqrt(x))dx Then wh...
Text Solution
|
If |(a^2,b^2,c^2),((a+lambda)^2,(b+lambda)^2,(c+lambda)^2),((a-lambda)...
Text Solution
|
Coefficent of variation of two distributions are 60% and 75%, and thei...
Text Solution
|
{x inR:cos2x+2cos^(2)x=2} is equal to
Text Solution
|
lim(x to 0)(ln(1+x))/(x^(2))+(x-1)/(x)=
Text Solution
|
The abscissa of the points, where the tangent to curve y=x^(3)-3x^(2)-...
Text Solution
|
The value of x, AA x in R which satisfy the equation (x-1)|x^(2)-4x+3|...
Text Solution
|
Let f(x)=(9x)/(25)+c, c gt 0. If the curve y=f^(-1)(x) passes through ...
Text Solution
|
Let x+(1)/(x)=2, y+(1)/(y)=-2 and sin^(-1)x+cos^(-1)y=m pi, then the v...
Text Solution
|
If hat(i)xx[(vec(a)-hat(j))xxhat(i)]+hat(j)xx[(vec(a)-hat(k))xx hat(j)...
Text Solution
|
A circle touches the hypotenuse of a right angled triangle at its midd...
Text Solution
|