Quadratic EquationMedium
Question
The number of values of k, for which the system of equations :
(k + 1)x + 8y = 4k
kx + (k + 3)y = 3k - 1
has no solution, is :
(k + 1)x + 8y = 4k
kx + (k + 3)y = 3k - 1
has no solution, is :
Options
A.infinite
B.1
C.2
D.3
Solution
(1) = (2)
⇒k2 - 4k + 3 = 0
k = 1, 3
for k = 1, (2) = (3)
for k = 3, (2) ≠ (3)
k = 3
Create a free account to view solution
View Solution FreeMore Quadratic Equation Questions
If one root of the equation x2 − x − k = 0 is square of the other, then k equals to -...If α and β be the roots of the equation 2x2 + 2 (a + b) x + a2 + b2 = 0, then the equation whose roots are (&#...The poduct of all values of $x$ satisfying the equation $\frac{1}{x^{2} + 2x} + \frac{1}{x^{2} + 6x + 8} + \frac{1}{x^{2...The diagram shows the graph of y = ax2 + bx + c. Then -...The roots of the equation ax2 + bx + c = 0 will be imaginary if -...