Following questions consist of two statements Assertion (A) and Reason (R). Answer these questions selecting appropriate option given below : Both (A) and (R) are true and (R) is the correct explanation of (A). (Both (A) and (R) are true but ( R) is not the correct explanation of (A). (A) is not true but ( R) is false. (R ) is true but (A) is false. (xi) (A) : centroid of the triangle with vertices (2, 3), (3, 4) and (-1, -2) is (4/5, 5/3). (R) : centroid of the triangle with vertices (x1, y1), (x2, y2) and (x3, y3) is (x1+x2+x3/3 , y1+y2+y3/3) . (Xii) (A) :Mid point of the line -segment joining the points (2, -3) and (3, 3) is (5/2, 1/2 ). ( R) : mid-point of line segment joining (x1, y1) and (x2, y2) is (x1+x2/2, y1+y2/2). (Xiii) (A): Graphical Representation of x+2y=3 and 2x+4y+7=0 is a pair of parallel lines. (R) : If a1/a2=b1/b2#c1/c2 for a1x+b1y+c1=0 and a2x+b2y+c2=0, then lines represented by them are parallel. (Xiv) (A) : Lines represented by 3x-5y=8 and 9x-15y=24 intersect at a unique point (6, 2). ( R) : point (6, 2) satisfies both the equations.
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