Mathematics
Two straight lines 3x - 2y = 15 and 2x + ky + 8 = 0.
Assertion (A) : The given two lines are perpendicular to each other and k = 3.
Reason (R) : If the inclination of two lines are α and β; then tan α = -cot β.
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
Related Questions
The equation of line AB is x + 8 = 0. The slope of the line OP which bisects angle O, is :
1
-1
0
2
The line 2x - 3y = 12, meets x-axis at point A and y-axis at point B, then :
A = (6, 0) and B = (0, -4)
A = (0, -4) and B = (6, 0)
A = (0, -4) and B = (-6, 0)
A = (-6, 0) and B = (4, 0)
A line 2x + 8y = 15.
Assertion (A) : The equation of line passing through origin and parallel to the given line 2x + 8y = 15 is x + 4y = 0.
Reason (R) : Equation of the line passing through the origin and parallel to ax + by + c = 0 is ax + by = 0.
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
Points P(x, 2), A(-2, 3) and B(-5, 4) are collinear.
Statement 1: Slope of PA = Slope of PB = Slope of AB.
Statement 2: x = 1.
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.