Mathematics
Lines 2x - by + 7 = 0 and ax - 2y - 7 = 0 are perpendicular to each other. Statement 1: 2/a = b/2. Statement 2: Slope of line 2x - by + 7 = 0 is 2/b and slope of the line az - 2y - 7 = 0 is a/2 and slope of line ax - 2y - 7 = 0 is . 1. Both the statement are true. 2. Both the statement are false. 3. Statement 1 is true, and statement 2 is false. 4. Statement 1 is false, and statement 2 is true.
Related Questions
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.
Point P divides the line segment joining the points A (8, 0) and B (16, -8) in the ratio 3 : 5. Find its co-ordinates of point P.
Also, find the equation of the line through P and parallel to 3x + 5y = 7.
The line segment joining the points A(3, -4) and B (-2, 1) is divided in the ratio 1 : 3 at point P in it. Find the co-ordinates of P. Also, find the equation of the line through P and perpendicular to the line 5x – 3y = 4.