Advertisements
Advertisements
प्रश्न
Find the value of k for which the following system of equations has a unique solution:
4x + ky + 8 = 0
2x + 2y + 2 = 0
उत्तर
Here `a_1 = 4, a_2 = k, b_1 = 2, b_2 = 2``
Now for the given pair to have a unique solution `a_1/a_2 != b_1/b_2`
i.e `4/2 != k/2`
i.e `k != 4`
Therefore, for all values of k, except 4, the given pair of equations will have a unique solution.
APPEARS IN
संबंधित प्रश्न
Draw a graph of the line x – 2y = 3. From the graph, find the coordinates of the point when (i) x = – 5 (ii) y = 0.
Find the value of k for which each of the following system of equations have infinitely many solutions :
2x + 3y = 7
(k + 1)x + (2k - 1)y - (4k + 1)
Find the value of k for which the system
kx + 2y = 5
3x + y = 1
has (i) a unique solution, and (ii) no solution.
Find the values of a and b for which the following system of equations has infinitely many solutions:
2x - (2a + 5)y = 5
(2b + 1)x - 9y = 15
Solve for x and y:
2x – y + 3 = 0, 3x – 7y + 10 = 0
Find the value of k for which the system of equations has a unique solution:
4x + ky + 8=0,
x + y + 1 = 0.
For what value of k, the system of equations
kx + 2y = 5,
3x - 4y = 10
has (i) a unique solution, (ii) no solution?
A railway half ticket costs half the full fare and the reservation charge is the some on half ticket as on full ticket. One reserved first class ticket from Mumbai to Delhi costs ₹4150 while one full and one half reserved first class ticket cost ₹ 6255. What is the basic first class full fare and what is the reservation charge?
If 3x + 2y = 10 and 2x + 3y = 15, then find the value of x + y.
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, where a1, b1, c1, a2, b2, c2 are all real numbers and a12+ b12 ≠ 0, a22 + b22 ≠ 0, is called a ______.
