Mathematics
The line 5x - ky + 3 = 0 passes through the point (x = y = 3). The value of k is :
-3
-6
6
3
Straight Line Eq
8 Likes
Answer
Since, the line 5x - ky + 3 = 0 passes through point (x = y = 3).
∴ Point (3, 3) satisfies the equation 5x - ky + 3 = 0.
∴ 5(3) - 3k + 3 = 0
⇒ 15 - 3k + 3 = 0
⇒ -3k + 18 = 0
⇒ 3k = 18
⇒ k = = 6.
Hence, Option 3 is the correct option.
Answered By
3 Likes
Related Questions
Th points A, B and C are (4, 0), (2, 2) and (0, 6) respectively. Find the equations of AB and BC.
If AB cuts the y-axis at P and BC cuts the x-axis at Q, find the coordinates of P and Q.
Match the equations A, B, C and D with the lines L1, L2, L3 and L4, whose graphs are roughly drawn in the given diagram.
A ≡ y = 2x;
B ≡ y - 2x + 2 = 0;
C ≡ 3x + 2y = 6;
D ≡ y = 2

The inclination of the line = 0 is :
30°
45°
60°
75°
Assertion (A) : 2x + y = 8 and 6x + 3y = 20 are two straight lines. To find whether the lines are parallel to each other or not, we need to find the slope of each line.
Reason (R) : If slopes of both the lines are same, they are parallel to each other.
A is true, R is false
A is false, R is true
Both A and R are true and R is the correct reason for A
Both A and R are true and R is the incorrect reason for A