Question

The equations

4x^2+(9+4k)x+2k^2=0

and 4x + 7 = 0 are satisfied by the same

value of x.( i.e, they have one zero in common). Find the value(s) of k.
Answer only to this question not changing the values.​

Answer 1

Answer:

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R.D. Sharma Solutions»R.D. Sharma Class 10 Solutions»Chapter 3 Pair Of Linear Equations In Two Variables»Pair of Linear Equations in Two Variables Exercise 3.5

Chapter 3: Pair of Linear Equations in Two Variables Exercise – 3.5

Question: 1

In each of the following systems of equation determine whether the system has a unique solution, no solution or infinite solutions. In case there is a unique solution,

x − 3y − 3 = 0, x − 3y − 3 = 0

3x − 9y − 2 = 0, 3x − 9y − 2 = 0

Solution:

The given system may be written as

x − 3y − 3 = 0

3x − 9y − 2 = 0

The given system of equation is of the form

a2x + b2y − c2 = 0 a2x + b2y − c2 = 0

Where, a1 = 1, b1 = −3, c1 = −3

a2 = 3, b2 = −9, c2 = −2

We have,

Therefore, the given equation