Let [lambda] be the greatest integer le...

Let `[lambda]` be the greatest integer less than or equal to `lambda`. The set of all values of `lambda` for which the system of linear equations `x +y+z=4, 3x+2y+5z=3, 9x+4y + (28+[lambda])z=[lambda]` has a solution is :

A

R

B

`[-9, -8)`

C

`(-oo, -9) cup ( -9 , oo)`

D

`(-oo, -9) cup [-8, oo)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

APPLICATION OF INTEGRALS
JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The set of all values of lambda for which the systme of linear equations x-2y-2z = lambda x, x +2y +z = lambda y " and "-x-y = lambdaz has a non-trivial solution.

The values of lambda and mu such that the system of equations x + y + z = 6, 3x + 5y + 5z = 26, x + 2y + lambda z = mu has no solution, are :

The value of lambda and mu for which the system of linear equation x+y+z=2 x+2y+3z=5 x+3y+lambda z= mu has infinitely many solutions are , respectively :

The number of real values of lambda for which the system of equations lambda x+y+z=0,x-lambda y-z=0,x+y-lambda z=0 will have nontrivial solution is

If the system of linear equations x+y+z=6, x+2y+3z=14 and 2x +5y+ lambdaz=mu(lambda,mu ne R) has a unique solution if lambda is

The value of lambda for which the system of equations 2x-y-z=12,x-2y+z=-4,x+y+z=4 has no solution is

The number of real values of lambda for which the system of linear equations 2x+4y-lambda z=0,4x+lambda y+2z=0,lambda x+2y+2z=0 has infinitely many solutions,is: (A)0(B)1(C)2(D)3

The system of linear equations x-y-2z=6.-x+y+z=mu,lambda x+y+z=3 has

The system of linear equations x+lambda y-z=0 , lambda x-y+z=0 , x+y-lambda z=0 has a non-trivial solution for

JEE MAINS PREVIOUS YEAR-APPLICATION OF DERIVATIVES-All Questions

Let [lambda] be the greatest integer less than or equal to lambda. T...
Text Solution
|
If p and q are positive real numbers such that p^2+""q^2=""1 , t...
Text Solution
|
A value of C for which the conclusion of Mean Value Theorem holds f...
Text Solution
|
The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...
Text Solution
|
How many real solutions does the equation x^7+""14 x^5+""16 x^3+""3...
Text Solution
|
Suppose the cube x^3""p x""+""q has three distinct real roots wh...
Text Solution
|
Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...
Text Solution
|
The shortest distance between the line yx=1 and the curve x=y^2 is ...
Text Solution
|
Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...
Text Solution
|
Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt...
Text Solution
|
The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...
Text Solution
|
The shortest distance between line y"-"x""=""1 and curve x""=""y^2 is ...
Text Solution
|
A spherical balloon is filled with 4500p cubic meters of helium gas...
Text Solution
|
The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...
Text Solution
|
If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...
Text Solution
|
A bird is sitting on the top of a vertical pole 20 m high and its e...
Text Solution
|
The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) ...
Text Solution
|
Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...
Text Solution
|
A wire of length 2 units is cut into two parts which are bent respe...
Text Solution
|
The radius of a circle, having minimum area, which touches the curve y...
Text Solution
|
Twenty metres of wire is available for fencing off a flower-bed in ...
Text Solution
|