﻿ Find the number of values of  t for which the system of equations                                              has non-trivial solution. : Kaysons Education

Find The Number Of Values Of  T For Which The System Of Equations                                              Has Non-trivial Solution.

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Question

Solution

Correct option is

3

The given system of equations will have a non-trivial solution if

Clearly âˆ† is a cubic polynomial in t and has 3 roots.

SIMILAR QUESTIONS

Q1

The complex number

Q2

If a, b > 0 and

then âˆ† has a local minimum at x equal

Q3

If x, y, z are different from zero and

Q4

If p + q + r = a + b + c = 0, then the determinant

Q5
Q6

Q7

If the system of the linear equations x + y + z = 6, x + 2y + 3z = 14 and 2 x + 5y + λz = μ, (λ, μ ∈ R)  has a unique solution, then

Q8
Q9

find the maximum value of f (x).

Q10

Find the number of real roots of the equation