Practice Test

Q1) ABCD is a rectangle whose three vertices are B (4, 0), C (4, 3) and D (0, 3). The length of one of its diagonals is: Show Answer

Q2) If the points A (x, 2), B (-3, -4) and C (7, -5) are collinear, then the value of x is: Show Answer

Q3) The perimeter of a triangle with vertices A (0, 4), B (0, 0) and C (3, 0): Show Answer

Q4) If the point C (k, 4) divides the join of points A (2, 6) and B (5, 1) in the ratio 2 : 3, then the value of k is: Show Answer

Q5) The distance of the point (-3, 4) from the x-axis is: Show Answer

Q6) If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of the centre are (-2, 5), then the coordinates of the other end of the diameter are: Show Answer

Q7) The coordinates of the point P dividing the line segment joining the points A (1, 3) and B (4, 6) in the ratio 2 : 1 are: Show Answer

Q8) If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2 AB is equal to: Show Answer

Q9) The area (in sq. units) of the triangle formed by the points A (a, 0), O (0, 0) and B (0, b) is: Show Answer

Q10) The point P which divides the line segment joining the points A (2, -5) and B (5, 2) in the ratio 2 : 3 lies in the quadrant: Show Answer

Q11) The mid-point of segment A B is the point P (0, 4). If the coordinates of B are (-2, 3), then the coordinates of A are: Show Answer

Q12) The point P on x-axis equidistant from the points A (-1, 0) and B (5, 0) is: Show Answer

Q13) The coordinates of the point which is reflection of point (-3, 5) in x-axis are: Show Answer

Q14) If the point P (6, 2) divides the line segment joining A (6, 5) and B (4, y) in the ratio 3 : 1, then the value of y is: Show Answer

Q15) The value of p, for which the points A (3, 1), B (5, p) and C (7, -5) are collinear, is: Show Answer

Q16) The distance between the points (0, 5) and (-5, 0) is: Show Answer

Q17) The distance of the point (-6, 8) from the origin is: Show Answer

Q18) The distance of a point (-5, 12) from the origin is: Show Answer

Q19) ........... is the point of intersection of the coordinate axis. Show Answer

Q20) In the second quadrant, for a point, the abscissa is ........ and the ordinate is ........... Show Answer

Q21) The distance between the points (3, 4) and (-5, 2) is ............. Show Answer

Q22) If three points are collinear, then the area of triangle formed by them is ................. Show Answer

Q23) The ratio in which the line segment joining A (1, -5) and B (-4, 5) is divided by the X-axis is ................ Show Answer

Q24) The distance of the point P (2, 3) from the x-axis is: Show Answer

Q25) The distance between the points A (0, 6) and B (0, -2) is: Show Answer

Q26) The distance of the point P (-6, 8) from the origin is: Show Answer

Q27) The distance between the points (0, 5) and (-5, 0) is: Show Answer

Q28) AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0), B (5, 0). The length of its diagonal is: Show Answer

Q29) Assertion : By using graph we can locate (0, 4) on the y-axis.
Reason : A point whose y-coordinate is zero lies on the x-axis. Show Answer

Q30) What is the length of line segment AB? Show Answer

Q31) Is AB = AC? Show Answer

Q32) The coordinates of the mid-point of BE are: Show Answer

Q33) Mid point of ED will lie on: Show Answer

Q34) If we join BD, then the y-axis divides BD in the ratio: Show Answer

Q35) The coordinates of A and B respectively is: Show Answer

Q36) The coordinates of C and D respectively is: Show Answer

Q37) If it possible to place Ram, (R) in the drill in such a way that he is equidistant from all the four students A, B, C and D? Show Answer

Q38) What are the coordinates of the position of Ram? Show Answer

Q39) The distance between B and D is Show Answer

Q40) The coordinates of the vertex D are: Show Answer

Q41) The coordinates of the paint of inter section of the diagonals are: Show Answer

Q42) The length of the side AB is: Show Answer

Q43) The length of the side AD is: Show Answer

Q44) If we take A as the origin and AB as x-axis then the co-ordinates of M are: Show Answer

Q45) Find the distance PR: Show Answer

Q46) The co-ordinates of point on x-axis which is at equal distance PQ is: Show Answer

Q47) The coordinates of the mid points of PR is: Show Answer

Q48) The distance between grocery store and food cart is: Show Answer

Q49) The distance of the bus stand from the house is: Show Answer

Q50) If the grocery store and electrician's shop lie on a line, the ratio of distance of house from grocery store to that from electrician's shop is: Show Answer

Q51) The ratio of distances of house from bus stand to food card is: Show Answer

Q52) The coordinates of positions of bus stand, grocery store, food cart and electrician's shop form a: Show Answer

Q53) A triangle with vertices (4,0), (-1,-1) and (3,5) is a/an Show Answer

Q54) The point (-4,0),(4,0) and (0,3) are the vertices of a/an Show Answer

Q55) If the distance between the points (4,p) and (1,0) is 5 units, then the value of p is Show Answer

Q56) The points (2, 5), (4,-1) and (6,-7) are vertices of an/a Show Answer

Q57) If the segment joining the points (a, b) and (c, d) subtends a right angle at the origin, then Show Answer

Q58) The perimeter of a triangle with vertices (0, 4), B (0, 0) and C (3, 0) is
Show Answer

Q59) If P(1,2), Q(4,6), R(5,7) and S(a,b) are the vertices of a parallelogram PQRS, then Show Answer

Q60) The point P which divides the line segment joining the points A(2, -5) and B(5, 2) in the ration 2:3 lies in the quadrant Show Answer

Q61) The vertices of a triangle are (0, 0), (3, 0) and (0, 4). The centroid of the triangle is Show Answer

Q62) The points (k + 1 , 1), (2k + 1, 3) and (2k + 2, 2k) are collinear if Show Answer

Q63) The area (in square units) of the triangle formed by the points A(a, 0), O(0,0) and B(0,b) is Show Answer

Q64) The area of the triangle with vertices at the points (a, b + c), (b, c + a) and (c, a + b) is Show Answer