CBSE Class X HOTS Questions of Mathematics (CO-ORDINATE GEOMETRY) 2011
Find the points on the y axis whose distances from the points (6, 7) and (4,-3) are in the ratio 1:2
Determine the ratio in which the line 2x + y -4 = 0 divide the line segment joining the points A (2,-2) and B (3, 7).Also find the coordinates of the point of division
Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).
If the vertices of a triangle are (1, k), (4, -3), (-9, 7) and its area is 15 sq units, find the value (s) of k..
The centre of a circle is (2x – 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units
If A & B are (-2,-2) and (2,-4) respectively, find the co ordinates of P such that AP = AB and P lies on the line segment AB.
Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.
If A, B and P are the points (-4, 3), (0, -2) and (a,b) respectively and P is equidistant from A and B, show that 8a – 10b + 21= 0
If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex
Find the centre of a circle passing through the points (6, -6), (3, -7) and (3, 3).Also find the radius.. .
Also see:
a fox and an eagle lived at the top of a cliff of height 6m………….
a man has a debt of 900000 he promised to pay that in 40 instalments but after 30 instalments he died leaving one third of his debt unpaid. if he paid it in an arithmetic sequence what would have been his first three instalments
the angle of elevation of a bird from a point 400 feet above a pond is 30 degree and angle of depression on its image in the pond is found to be 60 degree .Find the height of the bird from the surface of the water.
If the pth,qth,rth terms of an AP are a,b,c then prove a(q – r) + b(r-p) = c (q – p)
How we can Proove volume of the frustum ? The formula is incorrect in the book