Point P(p ,0),Q(q ,0),R(0, p),S(0,q) fro...

Point `P(p ,0),Q(q ,0),R(0, p),S(0,q)` from.

A

A. parallelogram

B

B. rhombus

C

C. cyclic quadrilateral

D

D. none of these

Text Solution

Verified by Experts

The correct Answer is:

C

The diagram is self -explanatory. From the diagram, PQRS is a cyclic quadrilateral.

Topper's Solved these Questions

COORDINATE SYSYEM
CENGAGE PUBLICATION|Exercise Multiple correct|13 Videos
COORDINATE SYSYEM
CENGAGE PUBLICATION|Exercise Linked|10 Videos
COORDINATE SYSYEM
CENGAGE PUBLICATION|Exercise Concept applications 1.6|9 Videos
COORDINATE SYSTEM
CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos
CROSS PRODUCTS
CENGAGE PUBLICATION|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Show that the pointsO (0 , 0, 0) ,P (a , a, 0) Q ( a , 0 , a) and R (0 , a , a) from regular tetrahedron .

Show that the points (p , q , r) , (q , r , p) and (r , p , q) are the vertices of an equilateral triangle.

If the point (0,0),(2,2sqrt(3)), and (p,q) are the vertices of an equilateral triangle, then (p ,q) is

Let's find the L.C.M of the following algebraic expressions. (p+q) (q+r), (q+r)(r+p), (r+p)(p+q)

Find the vector joining the points P(2,3,0) and Q(-1,-2,-4) directed from P to Q.

Two charges -q and +q are located at point A(0, 0, -a) and B(0, 0, +a) respectively. How much work is done in moving a test charge from point P(7, 0, 0 ) to Q(-3, 0, 0)?

Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3 ) be three points. The equation of the bisector of the angle PQR

Two points P(a,0) and Q(-a,0) are given. R is a variable point on one side of the line P Q such that /_R P Q-/_R Q P is a positive constant 2alphadot Find the locus of the point Rdot

The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r p ,1/(r p)), where p ,q and r are the roots of the equation y^3-3y^2+6y+1=0 . The coordinates of its centroid are

If p^(th), q^(th), r^(th) and s^(th) terms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P.

CENGAGE PUBLICATION-COORDINATE SYSYEM -Exercises

If the origin is shifted to the point ((a b)/(a-b),0) without rotation...
Text Solution
|
A light ray emerging from the point source placed at P(2,3) is reflect...
Text Solution
|
Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from.
Text Solution
|
A rectangular billiard table has vertices at P(0,0),Q(0,7),R(10 ,7), a...
Text Solution
|
ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...
Text Solution
|
If one side of a rhombus has endpoints (4, 5) and (1, 1), then the m...
Text Solution
|
A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...
Text Solution
|
If a straight line through the origin bisects the line passing through...
Text Solution
|
Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...
Text Solution
|
The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...
Text Solution
|
Point A and B are in the first quadrant,point O is the origin. If the ...
Text Solution
|
Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) ...
Text Solution
|
If sum(i=1)^4(x1^2+y 1^2)lt=2x1x3+2x2x4+2y2y3+2y1y4, the points (x1, y...
Text Solution
|
The vertices A and D of square A B C D lie on the positive sides of x-...
Text Solution
|
Through the point P(alpha,beta) , where alphabeta>0, the straight line...
Text Solution
|
The locus of the moving point whose coordinates are given by (e^t-e^(-...
Text Solution
|
The locus of a point reprersented by x=a/2((t+1)/t),y=a/2((t-1)/t) , w...
Text Solution
|
Vertices of a variable triangle are A(3,4),B(5costheta, 5sintheta) and...
Text Solution
|
Vertices of a variable triangle are A(3,4),B(5costheta, 5sintheta) and...
Text Solution
|
From a point, P perpendicular PM and PN are drawn to x and y axis, res...
Text Solution
|