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## GRE - Quantitative Reasoning - Coordinate geometry

princegupta 5 months ago

### how is one question grade on GRE what is the weight per question also i checked online it is only 23 questions in some forum i was checking could you tell me how many questions and what are the weightage sceheme per question ? (more)

how is one question grade on GRE what is the weight per question also  i checked online it is only 23 questions in some forum i was checking could you tell me how many questions and what are  the weightage sceheme per question ?

40/weighate

LEAP Administrator 8 months ago

### The quadrants of the xy-plane are shown in the figure above (more)

The quadrants of the xy-plane are shown in the figure above. In the xy-plane, line m (not shown) has a positive slope and a positive x-intercept. Line m intersects which of the quadrants?

Indicate all such quadrants.

Image above shows a line with positive slope and positive x intercept.

It will pass through I, III and IV quadrant

LEAP Administrator 10 months ago

### In the xy-plane, the equation of line k is 3x ? 2y = 0. (more)

In the xy-plane, the equation of line k is 3x − 2y = 0.

 Quantity A Quantity B The x-intercept of line k The y-intercept of line k

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

The line 3x − 2y = 0 passes through (0,0)

thus the intercepts are equal

Option C is correct

LEAP Administrator 10 months ago

### In the xy plane, the point (-2,-3) is the center of a circle. The point (-2,1) lies inside the circle and the point (4,-3) lies outside the circle. If the radius r of the circle is an integer, then r= (more)

In the xy plane, the point (-2,-3) is the center of a circle. The point (-2,1) lies inside the circle and the point (4,-3) lies outside the circle. If the radius r of the circle is an integer, then r=

A. 6
B. 5
C. 4
D. 3
E. 2

Since (-2, 1) lies inside the circle

r > distance between center (-2, -3) and point (-2, 1)

SInce (-2, -3) and (-2, 1) lie on a line parellel to y axis

distance between them = |-3-1| = 4

r > 4

We also know that (4 , -3) lies outside the circle

r < distance between center (-2, -3) and point (4 -3)

Since (-2, -3) and (4, -3) lie on a line parellel to x-axis

distance between them =  |-2-4| = 6

r<6

Since 4 < r < 6

and r is an integer

the only possible value of r is 5

B is correct