Coordinate Geometry (SSC)

Total Questions: 32

1. The shortest length of the intercept between the x-axis and y-axis of the equation 6x + 8y - 48 = 0 is: [SSC CHSL 02/07/2024 (3rd Shift)]

Correct Answer: (c) 10units
Solution:

2. What is the area (in unit squares) of the triangle enclosed by the graphs of the equations 2x + 5y = 12, x + y = 3 and the x-axis? [SSC CGL Tier II (03/02/2022)]

Correct Answer: (c) 3
Solution:

3. The equation of circle with centre (1 , – 2) and radius 4 cm is : [SSC CHSL 17/03/2020 (Afternoon)]

Correct Answer: (d) π‘₯Β² + 𝑦² - 2π‘₯ + 4𝑦 = 16
Solution:

4. What is the area (in square units) of the triangular region enclosed by the graphs of the equations x + y = 3, 2x + 5y = 12 and the x axis? [SSC CGL Tier II (13/09/2019)]

Correct Answer: (b) 3
Solution:



5. Find the area of the quadrilateral ABCD, the coordinates of whose vertices are A(6, - 3), B(- 4, - 2), C(3, 1) and D(5, 0)? [SSC MTS 01/10/2024 (Morning)]

Correct Answer: (a) 21 unitΒ²
Solution:

6. If equation of line p is x + y = 5 and that of line q is x - y = 3, what are the coordinates of the point common to both the lines? [SSC CHSL 01/07/2024 (1st Shift)]

Correct Answer: (d) (4, 1)
Solution:

7. The graphs of two linear equations, x + 2y = 15 and 4x + 8y = 13 will be: [SSC CHSL 02/07/2024 (1st Shift)]

Correct Answer: (b) parallel
Solution:

8. If the point of intersection of lines x + y = 2 and 2x - y = 1 lies on y = Kx + 5, what is the value of K ? [SSC CHSL 02/07/2024 (4th Shift)]

Correct Answer: (b) - 4
Solution:

9. If a circle whose centre is (2, 3) touches the line 4π‘₯ + 3y - 7 = 0, then the radius of the circle is: [SSC CHSL 03/07/2024 (1st Shift)]

Correct Answer: (d) 2 unit
Solution:

10. The length of the portion of the straight line 5π‘₯ + 12y = 60 intercepted between the axes is: [SSC CHSL 03/07/2024 (1st Shift)]

Correct Answer: (a) 13
Solution: