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Linear Equations In Two Variables
In figure, ∆ABC and ∆ABD are equilateral triangles. Find the coordinates of points C and D.
∵ ∆ABC is an equilateral triangle
∴AC = BC = AB
⇒ BC = AB
⇒ BC = 2a
In right triangle COB,
OB2 + OC2 = BC2 
a2 + OC2 = (2a)2
OC2 + 3a2
Similarly, 
Some More Questions From Linear Equations in Two Variables Chapter
In figure, ABCD is a square. Find the co-ordinates of points A and D.
In figure, write the co-ordinates of the points P, Q, R and S.
Find the co-ordinates of a point:
(i) whose ordinate is 6 and lies on y-axis.
(ii) whose abscissa is -3 and lies on x-axis.
(ii) whose abscissa is -3 and lies on x-axis.
In which quadrant, can a point have:
(i) abscissa equal to its ordinate
(ii) ordinate equal in magnitude to abscissa
(iii) ordinate equal and opposite of abscissa
(iv) abscissa twice that of the ordinate.
(i) abscissa equal to its ordinate
(ii) ordinate equal in magnitude to abscissa
(iii) ordinate equal and opposite of abscissa
(iv) abscissa twice that of the ordinate.
See figure and complete the following statements:
(i) The abscissa and the ordinate of the point B are _ _ _ and _ _ _, respectively. Hence the coordinates of B are (_ _, _ _).
(ii) The x-coordinate and the y-coordinate of the point M are _ _ _ and _ _ _, respectively. Hence the coordinates of M are (_ _ _, _ _ _).
(iii) The x-coordinate and the y-coordinate of the point L are _ _ _ and _ _ _, respectively. Hence the coordinates of L are (_ _, _ _).
(iv) The x-coordinate and the y-coordinate of the point S are _ _ _ and _ _ _, respectively. Hence the coordinates of S are (_ _, _ _).
(ii) The x-coordinate and the y-coordinate of the point M are _ _ _ and _ _ _, respectively. Hence the coordinates of M are (_ _ _, _ _ _).
(iii) The x-coordinate and the y-coordinate of the point L are _ _ _ and _ _ _, respectively. Hence the coordinates of L are (_ _, _ _).
(iv) The x-coordinate and the y-coordinate of the point S are _ _ _ and _ _ _, respectively. Hence the coordinates of S are (_ _, _ _).
In which quadrant do the given points lie?
(a) (2, -1) (b) (-1, 7)
(c) (-2, -3) (d) (4, 5)
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Mock Test Series
Mock Test Series