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Test: Coordinate Geometry- 1 - Question 1

If the x-intercept of line L is -5 and the slope is equal to 5/2, Find the y-intercept of the line L.

Test: Coordinate Geometry- 1 - Question 2

Which of the following line is parallel to the given line 3x + 4y = 12 and has a negative y-intercept.

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Test: Coordinate Geometry- 1 - Question 3

In the given diagram, ABCD is a square and the coordinate of B is (5,5). If the length of each side is 2 units and AB is parallel to the y-axis, find the coordinate of D.

Test: Coordinate Geometry- 1 - Question 4

In the given diagram, the circle touches the y-axis at the point K whose coordinate is (0,7). If the area of triangle CKO is 21 units^{2}, where C is the centre of the circle, find the area of the circle.

Test: Coordinate Geometry- 1 - Question 5

The graph of the equation x^{2}y = k, where k < 0, lies in which two quadrants shown above?

Test: Coordinate Geometry- 1 - Question 6

Lines *a *and *b*, not shown, lie in the rectangular coordinate system shown above. Is the slope of line *a *greater than the slope of line *b*?

(1) Line *a *does not intersect quadrant III.

(2) Line *b *intersects quadrant IV.

Detailed Solution for Test: Coordinate Geometry- 1 - Question 6

Test: Coordinate Geometry- 1 - Question 7

A circle is tangent to the x-axis at 2 and the y-axis at 2. What is the area of the region between the circle and the origin?

Detailed Solution for Test: Coordinate Geometry- 1 - Question 7

Test: Coordinate Geometry- 1 - Question 8

If L_{1} passes through points in each quadrant except the III^{rd} quadrant, then is the slope of the line L_{2} positive?

(1) L_{2 }is perpendicular to L_{1}.

(2) L_{1} and L_{2} intersect in the I^{st} quadrant.

Detailed Solution for Test: Coordinate Geometry- 1 - Question 8

Test: Coordinate Geometry- 1 - Question 9

On the x-y coordinate grid, if points P, Q, and R make a triangle (not shown), what is the area of the triangle?

(1) Point Q lies on the x-axis 6 units from point P.

(2) Point R is 5 units away from the x-axis

Detailed Solution for Test: Coordinate Geometry- 1 - Question 9

Test: Coordinate Geometry- 1 - Question 10

On the x-y coordinate grid, are points A and B equidistant from the origin?

(1) |x| = |y| for point A and |x| = |y| for point B

(2) |x|, |y| of point A = |x|, |y| of point B

Detailed Solution for Test: Coordinate Geometry- 1 - Question 10

Test: Coordinate Geometry- 1 - Question 11

In which quadrant does the point (x,y) lie?

(1) (x, y+1) lies in the II^{nd} Quadrant.

(2) (x + 3, y) lies in the III^{rd} Quadrant.

Detailed Solution for Test: Coordinate Geometry- 1 - Question 11

Test: Coordinate Geometry- 1 - Question 12

In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = h is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-h, -k), then what are the coordinates of the point P?

Detailed Solution for Test: Coordinate Geometry- 1 - Question 12

Test: Coordinate Geometry- 1 - Question 13

On the x-y coordinate grid, does the line passing through point P (not shown) have a slope greater than 2?

(1) Point P has an x-value of 1 and is 2 units away from the origin

(2) The line does not pass through Quadrant IV

Detailed Solution for Test: Coordinate Geometry- 1 - Question 13

Test: Coordinate Geometry- 1 - Question 14

In the rectangular coordinate system above, if OB < BC then is the area of the triangle ABC lesser than 12 square units?

(1) Point A lies above the line y = 5

(2) The mid-point of B and C is (6, 0)

Detailed Solution for Test: Coordinate Geometry- 1 - Question 14

Test: Coordinate Geometry- 1 - Question 15

In the xy-plane, is the x-intercept of the line y = mx + b positive? (m and b are non-zero numbers)

(1) The y-intercept of the line m^{2}y = bx + m is positive.

(2) The x-intercept of the line is positive

Detailed Solution for Test: Coordinate Geometry- 1 - Question 15

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