2nd Year Mathematics Chapter 6 Test06: Analytical Geometry

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. The point of intersection of right bisectors of a triangle is called:
   1. incenter
   2. circumcenter
   3. centroid
   4. orthocenter
2. If the determinant of three points is zero then the points are:
   1. collinear
   2. non-collinear
   3. imaginary
   4. concurrent
3. The lines represented by ax²+ 2hxy + by²= 0 are imaginary if:
   1. h²> ab
   2. h²= ab
   3. h²< ab
   4. h²≤ ab
4. The point of intersection of three medians of a triangle is called:
   1. incenter
   2. circumcenter
   3. centroid
   4. orthocenter
5. The lines represented by ax²+ 2hxy + by²= 0 are coincident if:
   1. h²> ab
   2. h² =ab
   3. h² < ab
   4. h²≤ abh
6. Half the determinant of vertices of a triangle gives its:
   1. perimeter
   2. area
   3. volume
   4. both (a) and (b)
7. If the determinant of coefficients of the three lines is 0, then the lines are:
   1. concurrent
   2. intersecting
   3. parallel
   4. perpendicular
8. The lines represented by ax²+ 2hxy + by² are real and distinct if:
   1. h²> ab
   2. h²= ab
   3. h²< ab
   4. h²≤ ab
9. Equation ax + by + c = 0 passes through origin if:
   1. a = 0
   2. c = 0
   3. b = 0
   4. a = b = c = 0
10. Which of the following is perpendicular to $y= -\frac{1}{2}x$?
    1. y = 2x
    2. y = − 2x
    3. 2y = x
    4. 2y = - x