Mathematics
Assertion (A) : The x-coordinate of the point which divides the line segment joining points (6, 3) and (-4, 5) in the ratio 3 : 2 internally is 0. Reason (R) : The coordinates of point P dividing the line segment joining the points A(x1, y1) and B(x2, y2) in the ratio m : n is ((m/n)x2 + x1/(m/n) + 1, (m/n)y2 + y1/(m/n) + 1) 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.
Related Questions
Assertion (A) : Points (-5, 1) and (4, 1) are invariant points under reflection in the L. The line L is a line parallel to x-axis at a distance of 1 unit in the positive direction whose equation is x = 1.
Reason (R) : A point P is called an invariant point with respect to a given line L, if its image in the line L is the point P itself.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Assertion (A) : Given two straight lines 3x - 2y = 5 and 2x + ky + 7 = 0 are perpendicular to each other when k = 3.
Reason (R) : Let AB and CD be two mutually perpendicular lines and their inclinations be α and θ respectively, then tan θ = -cot α.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.