Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): The ordinate of a point A on yaxis is 5 and B has coordinates (–3, 1). Then the length of AB is 5 units.
Reason (R): The point A(2, 7) lies on the perpendicular bisector of line segment joining the points P(6, 5) and Q(0, –4).
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The area of the triangle with vertices (5 , 1), (3, 5), (5, 2), is 32 square units.Reason : The point (x, y) divides the line segment joining the points (x_{1}, y_{1}) and (x_{2}, y_{2}) in the ratio k : 1 externally then
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The coordinates of the point which divides the join of A(5, 11) and B(4,7) in the ratio 7 : 2 is (2, 3) Reason : The coordinates of the point P(x, y) which divides the line segment joining the points A(x_{1}, y_{1}) and B(x_{2}, y_{2}) in the ratio m_{1} : m_{2} is
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): △ABC with vertices A(–2, 0), B(2, 0) and C(0, 2) is similar to △DEF with vertices D(–4, 0), E(4, 0) and F(0, 4).
Reason (R): A circle has its centre at the origin and a point P(5, 0) lies on it. The point Q(6, 8) lies outside the circle.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The points (k, 2 2k), ( k+ 1,2k) and ( 4  k, 6  2k) are collinear if k = 1/2.
Reason : Three points A,B and C are collinear in same straight line, if AB + BC = AC.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : If the points A(4, 3) and B(x, 5) lies on a circle with the centre O(2,3) then the value of x is 2.
Reason : The midpoint of the line segment joining the points P(x_{1}, y_{1}) and Q(x_{2}, y_{2}) is
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): If the distance between the point (4, p) and (1, 0) is 5, then the value of p is 4.
Reason (R): The point which divides the line segment joining the points (7, – 6) and (3, 4) in ratio 1 : 2 internally lies in the fourth quadrant.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : Centroid of a triangle formed by the points (a, b) (b, c), and (c, a) is at origin, Then a + b + c = 0 .
Reason : Centroid of a △ABC with vertices A (x_{1}, y_{1}), B(x_{2}, y_{2}) and C (x_{3}, y_{3}) is given by
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The possible values of x for which the distance between the points A(x, 1) and B(5, 3) is 5 units are 2 and 8.
Reason : Distance between two given points A(x_{1}, y_{1}) and B(x_{2}, y_{2}) is given by,
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : Midpoint of a line segment divides line in the ratio 1 : 1.
Reason : If area of triangle is zero that means points are collinear.
124 videos457 docs77 tests

124 videos457 docs77 tests
