# 7 - General Coordinate Geometry Questions Answers

if the point P ( x,y) be equidistant from the points A( a+b,a-b) and B( a-b,a+b) then:

a) ax=by

b) bx = ay

Asked By: SUMIT SAURAV 5 year ago

A(3,4) and B is a variable point on the line |X| = 6. Also, AB ≤ 4. Then the number of positions of B with integral co-ordinates is:

(a)5  (b) 6 (c) 10 (d) 12

Asked By: GAUTHAM GANESH 5 year ago

by diagram (6,4),(6,3),(6,2) are points having AB<4 besides it two upside points are also there by symmetry not shown in diagram. These points are (6,5) and (6,6)

Total no. of points = 5

If|z| =1and w=z-1/z+1.thenRe(w)is:
Asked By: SHEIKH SARTAJ 6 year ago

The number of straight lines passing through the origin and not passing through any other lattice points is...

Asked By: OM SAII KEERTHI 6 year agoSolved By: SARIKA

For which integers n ≥ 3 does there exist a regular n-gon in the plane such that
all of its vertices have integer coordinates?

Asked By: BUDDHI PRAKASH 6 year ago

for n = 4, we can form a square with integral coordinates of all the vertices.

Let ABCD be a convex quadrilateral such that the diagonals AC and BD are
perpendicular, and let P be their intersection. Prove that the reflections of P with
respect to AB, BC, CD, and DA are concyclic (i.e., lie on a circle).
Asked By: BUDDHI PRAKASH 6 year ago

Prove that the four projections of vertex A of the triangle ABC onto the exterior
and interior angle bisectors of  B and  C are collinear.
Asked By: BUDDHI PRAKASH 6 year ago