Geometry — practice questions, page 7
Browse practice questions
QuestionFind the point that divides the line segment from A(−1, 7) to B(4, −3) internally in the ratio 2 :…QuestionIn what ratio does the y-axis divide the segment joining (−3, 5) and (6, −1)?QuestionFor what value of k are the points (k, 3), (2, 1) and (5, 7) collinear?QuestionWhich line passes through (2, −1) and is parallel to the line 3x − y = 5?QuestionWhich line passes through (1, 2) and is perpendicular to 2x + 3y = 6?QuestionWhat is the distance between the parallel lines 3x + 4y = 7 and 6x + 8y = 39?QuestionFind the area of the quadrilateral whose vertices, taken in order, are (0, 0), (6, 0), (8, 5) and…QuestionFind the image of the point (2, 1) when it is reflected in the line x + y = 7.QuestionWhat is the circumcentre of the triangle with vertices (0, 0), (8, 0) and (0, 6)?QuestionFind the orthocentre of the triangle with vertices (0, 0), (6, 0) and (4, 4).QuestionWhat is the acute angle between the lines y = √3x + 2 and y = x√3 - 1?QuestionA line passes through (3, 4) and cuts off equal positive intercepts on the two axes. What is its…QuestionFind the point on the x-axis that is equidistant from (2, −5) and (−2, 9).QuestionTriangle ABC has vertices A(3, 4), B(−1, 1) and C(7, 1). How long is the median from A?QuestionTwo adjacent vertices of a square are (1, 2) and (4, 6). What is the area of the square?QuestionThe line 5x + 12y = 60 meets the axes at A and B. What is the inradius of triangle OAB, where O is…QuestionWhat is the length of the perpendicular from the origin to the line passing through (6, 0) and (0,…QuestionThe line x + y = 10 cuts the segment joining A(2, 3) and B(8, 11) at P. In what ratio does P…QuestionThe legs of a right-angled triangle are 20 cm and 21 cm. What is the radius of its circumcircle?QuestionThe three perpendicular bisectors of the sides of a triangle always pass through one point. What…QuestionWhere does the orthocentre of a right-angled triangle lie?QuestionThe perimeters of two similar triangles are in the ratio 3 : 5. What is the ratio of their…QuestionEach side of an equilateral triangle measures 9 cm. How far is its centroid from each vertex?QuestionA triangle has sides of 9 cm, 10 cm and 17 cm. What is the radius of its incircle?QuestionAn isosceles triangle has two equal sides of 17 cm each and a base of 16 cm. Find its area.
← Previous · Page 7 of 8 · Next →