Rectangular Cartesian Coordinates Test

Result

Rectangular Cartesian Coordinates Test - 23

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Question 1
4 / -1

Two vertices of a triangle are (4,–3) and (–2,5). If the orthocentre of the triangle is at (1,2), then the third vertex is

A
(–33, –26)

B
(33,26)

C
(26,33)

D
None of these

Solution
Question 2
4 / -1

If the points A(3,4) , B(7,7) , C(a,b) be collinear and AC = 10, then (a,b) =

A
(11,10)

B
(10,11)

C

D

Solution
Question 3
4 / -1

A
P lies on the line segment RQ

B
Q lies on the line segment PR

C
R lies on the line segment QP

D
P, Q, R are non-collinear

Solution
Question 4
4 / -1

A

B

C

D
None of these

Solution
Question 5
4 / -1

The incentre of triangle formed by the lines x = 0, y = 0 and 3x + 4y = 12 is

A

B
(1,1)

C

D

Solution
Question 6
4 / -1

If a vertex of a triangle is (1,1) and the mid points of two sides through this vertex are (–1,2) and (3,2), then the centroid of the triangle is

A

B

C

D

Solution
Question 7
4 / -1

If the three points (3q,0), (0,3p) and (1,1) are collinear, then which one is true

A

B

C

D

Solution
Question 8
4 / -1

Without changing the direction of co-ordinate axes, origin is transferred to (h,k), so that the linear (one degree) terms in the equation x² + y² – 4x + 6y – 7 = 0 are eliminated. Then the point (h,k) is

A
(3,2)

B
(–3,2)

C
(2,–3)

D
None of these

Solution
Question 9
4 / -1

The equation of the locus of a point whose distance from (a,0) is equal to its distance from y-axis is

A

B

C

D

Solution
Question 10
4 / -1

Two points A and B have co-ordinates (1,0) and (–1,0) respectively and Q is a point which satisfies the relation AQ – BQ = ±1. The locus of Q is

A

B

C

D

Solution