For the following points, write the quadrant in which it lies.(3,−8)
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Let 0<α<2π be fixed angle . If P=(cosθ,sinθ) and Q=cos(α−θ),sin(α−θ)) then Q is obtained by
If the coordinates of two points A
are (3, 4) and (5,−2)
, respectively, find the coordinates of any point P
Area of PAB
is 10 sq. units.
Let 0≡(0,0),A≡(0,4),B≡(6,0)˙ Let P be a moving point such that the area of triangle POA is two times the area of triangle POB . The locus of P will be a straight line whose equation can be
The points (a,b),(c,d),
(a) vertices of an equilateral triangle
(b) vertices of an isosceles triangle
(c) vertices of a right-angled triangle
Write the answer of each of the following questions:(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?(ii) What is the name of each part of the plane formed by these two lines?(iii) Write the name of the point where these two lines intersect.
A variable line through point P(2,1)
meets the axes at AandB
. Find the locus of the circumcenter of triangle OAB
is the origin).
If P(1,2)Q(4,6),R(5,7), and S(a,b) are the vertices of a parallelogram PQRS, then (a)a=2,b=4 (b) a=3,b=4
(c)a=2,b=3 (d) a=1orb=−1
are two points, then find the ratio in which the food of the perpendicular from (4,1)