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Unique Questions on Coordinate Geometry with detailed Explanation

Unique Questions on Coordinate Geometry with detailed Explanation

Q1. What is the reflection of the point (-1 , 3) in the line x = -4?

रेखा x = -4  में बिंदु  (-1 , 3)  का प्रतिबिम्ब क्या  है ?

(a) (-7,-3)

(b) (-7,3)

(c) (7,-3)

(d) (7,3)

Q2. What is the reflection of the point (5, -2) in the line y = -1?

रेखा y = -1 में बिंदु (5, -2) का प्रतिबिम्ब क्या है?

(a) (-7 , -2)

(b) (-5 , 0)

(c) (5 , 0)

(d) (-7 , 2)

Q3. Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?

बिंदु A (2, 1) रेखाखंड BC को 2:3 अनुपात में विभाजित करता है | B के निर्देशांक (1, -3) और C के निर्देशांक (4, y) है | y का मान क्या है?

(a) 8

(b) -7

(c) -8

(d) 7

Q4. Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?

बिंदु P रेखाखंड AB का मध्य बिंदु है| P के निर्देशांक (3 , 1) हैं और B के (5, -4) हैं| बिंदु A के निर्देशांक क्या हैं?

(a)(-1 , 7)

(b)(1 , -7)

(c)(1 , 6)

(d)(-1 , -7)

Unique Questions
Q5. In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

बिंदु (2, 3) और बिंदु (-2, 1) को जोड़ने वाला रेखाखंड y-अक्ष द्वारा किस अनुपात में विभाजित किया जाता है?

(a)1 : 2

(b)1 : 1

(c)3 : 1

(d)2 : 3

Q6. What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

उस रेखा का समीकरण क्या है जोकि रेखा 5x + 3y = 6 के लंबवत है और जिसका Y – प्रतिच्छेद -3 है?

(a) 3x – 5y = 15

(b) 3x + 5y = 15

(c) 3x – 5y = -15

(d) 3x + 5y = -15

Q7. The distance between the points (4, 8) and (k,-4) is 13. What is the value of k?

बिंदु (4, 8) और (k, -4) के बीच की दूरी 13 है | k का मान क्या है?

(a) 1

(b) 3

(c) -1

(d) -3

Q8. If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, find the value of p ?

यदि A(6, 1), B(8, 2), C(9, 4) और D(p, 3) किसी समानान्तर चतर्भुज के निर्देशांक है, तो “p” का मान ज्ञात करे ?

(a) p=8

(b) p=7

(c) p=-8

(d) p=-7

Q9. Find the value of k if the points A(2, 3), B(4, k) and C(6, –3) are collinear ?

K का मान ज्ञात करे, यदि बिंदु A(2, 3), B(4, k) और  C(6, –3) सरेखी है ?

(a) k=1

(b)k=0

(c) k=2

(d) k=3

Unique Questions
Q10. What is the equation of the line passing through the point (2,-3) and making an angle of with the positive X-axis?

उस रेखा का समीकरण क्या होगा, जो बिंदु (2, -3) से होकर गुजरती हो और धनात्मक x-अक्ष के साथ  का कोण बनाती हो|

(a) x – y = -5

(b) x – y = -1

(c) x + y = -5

(d) x + y = -1

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