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Coordinate Geometry Questions with Answers: There are some basic formulas, methods concepts and coordinate geometry formulas are present to solve the coordinate geometry aptitude questions. If you follow those ideas means, you will get full marks in this quantitative aptitude coordinate geometry part. Candidates who are preparing for the competitive exams must collect the previous year question papers (IBPS Bank exams, Common Admission Test (CAT), UPSC exam etc..,), then they should find the frequently asked coordinate geometry problems with solutions from those question papers. Indiagrade provides some coordinate geometry aptitude problems with answers for your exam preparation.

### Coordinate Geometry Problems and Solutions:

Q1: Find the values of X for which the distance between the points A (2, -3) and B (10, X) is ten units.

(a) (-9 or -3)
(b) (-9 or 3)
(c) (-9 or 6)
(d) (9 or 4)

Q2: Find the area of the rhombus, its vertices are (3, 0), (4, 5), (-1, 4) and (-2, -1).

(a) 12 sq units
(b) 13 sq units
(c) 24 sq units
(d) 26 sq units

Q3: Calculate the area of the triangle, its vertices are (2, 3), (-1, 0), (2, -4).

(a) 15 sq units
(b) 25 sq units
(c) 40 sq units
(d) 20 sq units

Q4: If A(0, 1) is equidistant from B(5, -3) and C(Y, 6). Find the value of Y and also find the AC & BC.

(a) 15.588
(b) 12.826
(c) 12.726
(d) none of the above

Q5: If the distance between the two points (0, -5) and (Y, 0) is 13 units, then Y = ?

(a) 12
(b) 10
(c) 11
(d) 15

Q6: A triangle is formed by the x axis and the 2x + y = 4 and x - y +1 = 0, then taking the side along x axis as its base, the corresponding altitude of the triangle?

(a) 6
(b) 2
(c) 8
(d) 4

Q7: Find the area of the line passing through the point (5, 1) and parallel to the line of equation 7x - 2 y + 5 = 0.

(a) 7x + 2y - 33 = 0
(b) 7x - 2y + 33 = 0
(c) 7x - 2y - 33 = 0
(d) 7x - 2y + 33 = 0

Q8: The value of P for which the lines 2x + Py + 7 = 0 and 27x - 18y + 25 = 0, both are perpendicular to each other.

(a) 4
(b) 5
(c) 7
(d) 3

Q9: The coordinates of P, Q and R are (), () & (). X, Y & Z are the middle points of the QR, RP and PQ. Find the area of triangle XYZ?

(a) 10
(b) 8
(c) 4
(d) 6

Q10: Find the equation of a straight line whose slope is -2 which passes through the point (3,7).

(a) 2x + 2y - 13 = 0
(b) 2x + y - 13 = 0
(c) 2x + y + 13 = 0
(d) 2x - y - 13 = 0

Q1: (b)
Q2: (c)
Q3: (d)
Q4: (c)
Q5: (a)
Q6: (b)
Q7: (c)
Q8: (d)
Q9: (c)
Q10:(b)