Rectangular Cartesian Coordinates Test

Result

Rectangular Cartesian Coordinates Test - 25

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Question 1
4 / -1

A point moves in such a way that its distance from (1, –2) is always the twice from (–3,5), then locus of the point is

A

B

C

D
None of these

Solution
Question 2
4 / -1

Let P be the point (1,0) and Q a point on the curve y² = 8x. The locus of mid point of PQ is

A

B

C

D

Solution
Question 3
4 / -1

if A(-a,0) and B(a,0) are two fixed points, then the locus of the point on which the line AB subtends the right angle, is

A

B

C

D

Solution
Question 4
4 / -1

The locus of P such that area of ∆PAB = 12 sq. units , where A (2,3) and B (–4,5) is

A
(x + 3y – 1) (x + 3y – 23) = 0

B
(x + 3y + 1) (x + 3y – 23) = 0

C
(3x + y – 1) (3x + y – 23) = 0

D
(3x + y + 1) (3x + y + 23) = 0

Solution
Question 5
4 / -1

A

B

C

D
None of these

Solution
Question 6
4 / -1

If sum of distances of a point from the origin and lines x = 2 is 4 , then its locus is

A
x² – 12y = 36

B
y² + 12x = 36

C
y² – 12x = 36

D
x² + 12y = 36

Solution
Question 7
4 / -1

Locus of centroid of the triangle whose vertices are (a cos t, a sin t), (b sin t, -b cos t) and (1,0), where t is a parameter; is

A

B

C

D

Solution
Question 8
4 / -1

If the distance of any point P from the point A (a + b, a – b) and B(a – b, a + b) are equal , then the locus of P is

A
x – y = 0

B
ax + by = 0

C
bx – ay = 0

D
x + y = 0

Solution
Question 9
4 / -1

What is the equation of the locus of a point which moves such that 4 times its distance from the x-axis is the square of its distance from the origin

A

B

C

D

Solution
Question 10
4 / -1

Point of intersection of the diagonals of square is at origin and co-ordinate axis are drawn along the diagonals. If the side is of length a, then one which is not the vertex of square is

A

B

C

D

Solution