Rectangular Cartesian Coordinates Test

Result

Rectangular Cartesian Coordinates Test - 18

Score
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Question 1
4 / -1

If A and B are two fixed points and P is a variable point such that PA + PB = 4, then the locus of P is a/an

A
Parabola

B
Ellipse

C
Hyperbola

D
None of these
Question 2
4 / -1

If A and B are two points in a plane, so that PA – PB = constant, then the locus of P is

A
Hyperbola

B
Circle

C
Parabola

D
Ellipse
Question 3
4 / -1

If A and B are two fixed points in a plane and P is another variable point such that PA² + PB² = constant, then the locus of the point P is

A
Hyperbola

B
Circle

C
Parabola

D
Ellipse
Question 4
4 / -1

ABC is an isosceles triangle. If the co-ordinates of the base are B(1,3) and C(-2,7), the co-ordinates of vertex A can be

A
(1,6)

B

C

D
None of these

Solution
Question 5
4 / -1

A
A.M. of CA and CB

B
G.M. of CA and CB

C
H.M. of CA and CB

D
None of these

Solution
Question 6
4 / -1

The point of trisection of the line joining the points (0,3) and (6,-3) are

A
(2,0) and (4,-1)

B
(2, -1) and (4,1)

C
(3,1) and (4,-1)

D
(2,1) and (4,-1)

Solution
Question 7
4 / -1

The line y = x meets y = ke^x for k ≤ 0 at

A
No point

B
One point

C
Two points

D
More than two points

Solution
Question 8
4 / -1

Point Q is symmetric to P(4, -1) with respect to the bisector of the first quadrant. The length of PQ is

A

B

C

D

Solution
Question 9
4 / -1

A stick of length l rests against the floor and a wall of a room. If the stick begins to slide on the floor, then the locus of its middle point is

A
A straight line

B
Circle

C
Parabola

D
Ellipse

Solution
Question 10
4 / -1

If the vertices of a triangle have integral co-ordinates, then the triangle is

A
Equilateral

B
Never equilateral

C
Isosceles

D
None of these

Solution