Important Concepts Of Coordinate Geometry & Questions For SSC And Railway

Quantitative Aptitude is an equally important section for SSC CGL, CHSL, MTS exams and has an even more abundant importance in some other exams conducted by SSC. Generally, there are questions asked related to basic concepts and formulas of Coordinate Geometry. 
To let you make the most of QUANT section, we are providing important facts related to Coordinate Geometry. Also, Railway Exam is nearby with bunches of posts for the interested candidates in which quantitative aptitude is a major part. We have covered important notes and questions focusing on these prestigious exams. We wish you all the best of luck to come over the fear of Mathematics section.

Coordinate Geometry


 

  • Polar Form


Q1. Find the distance between points (–2,-5) and (6,1)?

Q1. Find the point which divides the line Segment joining (2,5) and (1,2) in the ratio 2: 1 Internally?

Q2. Find the coordinates of the point P when it divides the line AB Externally in the ratio of 3:1 where A = (9, 4) and B = (5, 2)?




Q1.Find the equation of line whose end points are (4,6) and (10,8). 
Sol.
Q1. Find the value of C if the distance between the point (C,4) and the origin is 5 units?
(a) 3
(b) 0
(c) Both (a) and (b)
(d) None of these
Q2. Find the slope of line passing through the point (2, 8) and  (6, 9)?  
(a) 5
(b) –5
(c) 0.25
(d) – 0.25
Q3. Find the length of the perpendicular from the point (3,–2) to the straight line 12x–5y+6=0?
(a) 5
(b) 4
(c) 6
(d) 8
Q4. The slope of the line 3x+7y+8 = 0 is?  
(a) 3
(b) 7
(c) –3/7
(d)  3/7
Q5. The line passing through (4,3) and (y,0) is parallel to the line passing through (–1,–2) and (3,0). Find y?
(a) –1
(b) –2
(c) 2
(d) –5
Q6. The angle which the line joining the points (√3,1)  and (√15,√5) makes with x–axis is?  
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Q7. The lines whose equations are 2x–5y+7=0 and 8x – 20y+ 28 = 0 are? 
(a) parallel
(b) perpendicular
(c) coincident
(d) intersecting 
Q8. The coordinates of the point P which divides the join of A(3,–2) and B (11/2,21/2) in the ratio 2 :3 are?
(a) (4, 3)
(b) (4, 5)
(c)(4,5/2)
(d) (3/2,7/2)
Q9. The equation of the line passing through the point (1,1) and perpendicular to the line 3x+4y – 5 = 0, is?
(a) 3x + 4y – 7 = 0
(b) 3x + 4y + k = 0
(c) 3x – 4y – 1 = 0
(d) 4x – 3y – 1 = 0
Q10. If P(3, 5), Q (4, 5) and R(4, 6) be any three points, the angle between PQ an PR is :
(a) 30°
(b) 45°
(c) 60° 
(d) 90°
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