Coordinate Geom...

At what point does the line y = 5x + 7 cut the y-axis?

The point (-3, 6) belongs to the line

Find out the point which lies on the line 6x = 2y + 4.

In which quadrants do the points (-5, 2) and (5, -5) lie?

If a = 3, b = –4 and c = 2, then (a + b, b + c) will lie in the

The coordinates of a point are (x + 3, y - 7). Find the sum of x and y if the coordinates of the same point are (5, 8).

Find the value of 'y' in the ordered pair (2, y) if the abscissa is 5 less than the ordinate.

What will be the coordinates of point P, if its ordinate is same as the abscissa of (3, 0) and its abscissa is same as the ordinate of (9, 2)?

The 'x' and 'y' coordinates of a point are called _________ and __________, respectively.

The sum of abscissas of two points is -2. Which of the following can be the possible set of points?

What is the distance of point (-3, -4) from the x-axis?

Which of the following points lies on y-axis?

The abscissa and ordinate of point A are

(Ordinate of point C) - (Abscissa of point A) = _________

The sum of ordinates of points A, B, C, and D is ______.

Directions: Study the following graph and answer the question that follows.



Abscissa of point W - Abscissa of point U = _______

The area of the rectangle formed by joining points A(3, 4), B(6, 4), C(6, 2) and D(3, 2) is ________.

The perpendicular distance of point (2, -5) from y-axis is ________.

If the distance of a point P from the negative x-axis is 3 units and that from the positive y-axis is 2 units, then in which of the following quadrants must the point lie?

Point X lies in the second quadrant and point Y lies in the third quadrant. Signs of abscissa of point X and point Y, respectively are _____.

State T for true and F for false for the following statements and choose the suitable option from the given table.

(i) The coordinates of a point are of the form (+, +) in the first quadrant, (-, +) in the second quadrant, (-, -) in the third quadrant, and (+, -) in the fourth quadrant, where "+" denotes a positive real number and "-" denotes a negative real number.
(ii) The coordinates of the origin are (0, 0).
(iii) The coordinates of a point on the x-axis are of the form (x, 0) and those of the point on the y-axis are (y, 0).
(iv) If abscissa of a point is 2 and the ordinate is 2, then the point lies in the first quadrant.

Fill in the blanks.

(I) The point 3 places below (2, 1) is in the _____________.
(II) All the coordinates are _________________ in the 3rd quadrant.
(III) A man in a car started from origin, goes towards east for 120 km and then goes towards north for 150 km. He then takes a turn towards south, and goes 200 km, after which he goes towards west for 180 km. The man is in the ________ quadrant now. (Take 1 km = 1 unit)
(IV) If a mirror is placed on the y axis, then the coordinates of the mirror image of point (-3, 9) will be ______.

The figure given above is rectangle HIJK and the sides HI and IJ are parallel to X-axis and Y-axis, respectively. HI = 10 units and IJ = 6 units. Also, the centre of the rectangle is at the origin. If we put a point L, 2 spaces right and 3 spaces above I, find:

(I) Product of the abscissa of K and the ordinate of L
(II) One less than the sum of the abscissas of H and L, and the ordinate of K

HIJK is a quadrilateral with centre at origin. The measurements of the quadrilateral are given in the figure in units, where HI = IJ = JK = KH. Find the coordinates of all the vertices of the quadrilateral.

Choose the correct option:

(P)	The area of triangle △OPR with vertices O(0, 0), P(0, 6) and R(5, 0)
(Q)	The area of rectangle PSRQ with vertices P(10, 0), Q(14, 0), R(14, 8) and S(10, 8)
(R)	The area of square ABCD with vertices A(5, 5), B(10, 5), C(10, 0) and D(5, 0)

(A) P = 15 sq. units, Q = 11 sq. units, R = 25 sq. units
(B) P = 15 sq. units, Q = 32 sq. units, R = 25 sq. units
(C) P = 17 sq. units, Q = 32 sq. units, R = 26 sq. units
(D) P = 14 sq. units, Q = 25 sq. units, R = 25 sq. units