Important Coordinate Geometry Notes For SSC CGL 2018 : 28th May

Coordinate Geometry Concepts for SSC And Railway Exam:

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

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

बिंदु (–2,-5) और (6,1) के बीच की दूरी ज्ञात कीजिये।

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

वह बिंदु ज्ञात कीजिये जो (2,5) और (1,2) को जोड़ने वाली रेखाखंड को आतंरिक रूप से 2: 1 के अनुपात में विभाजित करता है?

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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)?

बिंदु P के निर्देशांक ज्ञात कीजिये जब यह रेखा AB को बाह्य रूप से 3 : 1 के अनुपात में विभाजित करता है, जहाँ A = (9, 4) और B = (5, 2)?

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Q1.Find the equation of line whose end points are (4,6) and (10,8).

उस सरल रेखा की लम्बाई ज्ञात कीजिये जिसकी शीर्ष बिंदु (4,6) और (10,8) है।

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Q1. Find the value of C if the distance between the point (C,4) and the origin is 5 units?
C का मान ज्ञात कीजिये यदि बिंदु (C,4) और मूल के बीच की दूरी 5 इकाई है?
(a) 3
(b) 0
(c) Both (a) and (b)
(d) None of these

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Q2. Find the slope of line passing through the point (2, 8) and (6, 9)?
बिंदु (2, 8) और (6, 9) से गुजरने वाली रेखा की ढाल ज्ञात कीजिये?
(a) 5
(b) –5
(c) 0.25
(d) – 0.25

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Q3. Find the length of the perpendicular from the point (3,–2) to the straight line 12x–5y+6=0?/ बिंदु (3,–2) से सरल रेखा 12x–5y+6=0 पर लम्ब की लम्बाई ज्ञात कीजिये?
(a) 5
(b) 4
(c) 6
(d) 8

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Q4. The slope of the line 3x+7y+8 = 0 is?
रेखा 3x+7y+8 = 0 की ढाल है?
(a) 3
(b) 7
(c) –3/7
(d) 3/7

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Q5. The line passing through (4,3) and (y,0) is parallel to the line passing through (–1,–2) and (3,0). Find y?
(4,3) और (y,0) से गुजरने वाली रेखा (–1,–2) और (3,0) से गुजरने वाली रेखा के सामानांतर है। Y ज्ञात कीजिए?
(a) –1
(b) –2
(c) 2
(d) –5

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Q6. The angle which the line joining the points (√3,1) and (√15,√5) makes with x–axis is?
बिंदु (√3,1) और (√15,√5) को जोड़ने वाली रेखा द्वारा x-अक्ष द्वारा बनाने वाला कोण है?
(a) 30°
(b) 45°
(c) 60°
(d) 90°

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Q7. The lines whose equations are 2x–5y+7=0 and 8x – 20y+ 28 = 0 are?
समीकरण 2x–5y+7=0 और 8x – 20y+ 28 = 0 वाली रेखाएं हैं:
(a) parallel
(b) perpendicular
(c) coincident
(d) intersecting

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Q8. The co-ordinates of the point P which divides the join of A(3,–2) and B (11/2,21/2) in the ratio 2 :3 are?
बिंदु P के निर्देशांक जो A(3,–2) और B (11/2,21/2) के जोड़ को 2 : 3 के अनुपात में विभाजित करता है?
(a) (4, 3)
(b) (4, 5)
(c)(4,5/2)
(d) (3/2,7/2)

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Q9. The equation of the line passing through the point (1,1) and perpendicular to the line 3x+4y – 5 = 0, is?
उस रेखा का समीकरण जो बिंदु (1,1) से गुजरती है और रेखा 3x+4y – 5 = 0 पर लम्बवत है:
(a) 3x + 4y – 7 = 0
(b) 3x + 4y + k = 0
(c) 3x – 4y – 1 = 0
(d) 4x – 3y – 1 = 0

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Q10. If P(3, 5), Q (4, 5) and R(4, 6) be any three points, the angle between PQ an PR is :
यदि P(3, 5), Q (4, 5) और R(4, 6) तीन बिंदु हैं, तो PQ और PR के बीच का कोण है?
(a) 30°
(b) 45°
(c) 60°
(d) 90°