Coordinate Geometry (Railway Maths)

Total Questions: 57

21. If the length of the tangent from (2, 5) to x² + y² - 5x + 4y + k = 0 is √37 units, then the value of k is: [RRB NTPC 08/02/2021 (Evening)]

Correct Answer: (c) -2
Solution:

22. The area of the triangle formed by the line 2x - 4y - 7 = 0 with the coordinate axis is: [RRB NTPC 11/02/2021 (Evening)]

Correct Answer: (d) 49/16 unit²
Solution:

23. The distance between two points (a cosα, 0) and (0, a sinα) is ____ [RRB NTPC 11/02/2021 (Evening)]

Correct Answer: (b) |a|
Solution:

24. If the radius of the circle x² + y² - 6x + 8y + c = 0 is 6, then the value of c is: [RRB NTPC 11/02/2021 (Evening)]

Correct Answer: (b) -11
Solution:

25. The position of the point (1, 2) with respect to the circle x² + y² - 3x - 4y + 1 = 0 [RRB NTPC 22/02/2021 (Morning)]

Correct Answer: (c) Lies inside the circle
Solution:

26. What is the value of β, if the equation β(x + 1)²/3 + (y + 2)²/4 = 1 is a circle? [RRB NTPC 02/03/2021 (Evening)]

Correct Answer: (b) 3/4
Solution:

27. Find the radius of the circle x² + y² + 7x + 4y + 9 = 0. [RRB NTPC 04/03/2021 (Morning)]

Correct Answer: (d) √29/2
Solution:

28. The distance from the origin to the line 4x + 3y + 6 = 0 is: [RRB NTPC 04/03/2021 (Morning)]

Correct Answer: (c) 6/5
Solution:

29. The intercepts made by the plane 3x - 4y - 2z = 6 with the coordinate axis are: [RRB NTPC 07/03/2021 (Evening)]

Correct Answer: (d) 2, -3/2, -3
Solution:

30. If the distance between two points (x , 7) and (1 , 15) is 10 units, then the possible values of x = ? [RRB NTPC 08/03/2021 (Evening) ]

Correct Answer: (a) 7 , - 5
Solution: