Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test

• 
  A
• 
  B
• 
  C
• 
  D

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

• k = 2 A
• k = ±2 B
• k = -2 C
• k ≠0 D

The distance between the points (0 , 0) and (1, 2) is

• 5 A
• 
  B
• 0 C
• 3 D

The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

• 14 A
• 2 B
• -2 C
• 11 D

The distance of the point (2,-3) from y-axis is

• 2 A
• -3 B
• 1 C
• 5 D

The distance between the points A(3,1) and B(-2,-4) is

• 5 A
• 
  B
• 25 C
• 10 D

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

• x+ y+ 1= 0 A
• x+ y- 2= 0 B
• x+ y+ 2= 0 C
• 2x +y +2 =0 D

(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

• 1:2 A
• 3:2 B
• 2:3 C
• 2:1 D

• x-axis A
• y-axis B
• z-axis C
• None of these D

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (2,1) then

• d₁= d₂ A
• d₁<d₂ B
• d_1>d₂ C
• none of these D

The mid point of the line joining the points P(x₁, y₁) and Q(x₂, y₂) is

• 
  A
• 
  B
• 
  C
• 
  D

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

• 120° A
• 30° B
• 130° C
• 45° D

For all points (x,y) in second quadrant

• x > 0 , y < 0 A
• x > 0 , y > 0 B
• x < 0 , y < 0 C
• x < 0 , y > 0 D

If origin is the mid point of (a, -3) and (-5, b) then

• a = -5 , b = -3 A
• a = 5 , b =3 B
• a = -5 , b = 3 C
• a = 5 , b = -3 D

If distance between (3,b) and (0,0) is 3 then b = _______

• 3 A
• 
  B
• 9 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• -10 A
• 10/7 B
• -10/7 C
• -7/10 D

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 
  C
• 
  D

The distance between the points (0 , 0) and (2, 1) is

• 5 A
• 
  B
• 0 C
• 3 D

• 0 A
• 1 B
• 
  C
• 
  D

The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

• (1,1) A
• (0,1) B
• (1,0) C
• (0,0) D

The distance between two points P(x₁, y₁) and Q (x₂, y₂) is

• 
  A
• 
  B
• 
  C
• 
  D

The distance between the points (2,3) and (3,2) is

• 5 A
• 
  B
• 2 C
• 10 D

The distance between the points (2, 2) and (3, 3) is

• 10 A
• 
  B
• 5 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

• (-3,1) A
• (-6,2) B
• (5,2) C
• (-5,2) D

• 1 A
• 0 B
• 5 C
• 2 D

The point of concurrency of the right bisectors of the sides of a triangle is called

• incentre A
• circum center B
• e-center C
• centroid D

If distance between (a,2) and (0,0) is 2 then a = _______

• 0 A
• 2 B
• 4 C
• 
  D