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
is this question helpfull: 4 8 read solutions ( 2 ) | submit your answer

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
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

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
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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
is this question helpfull: 7 1 read solutions ( 1 ) | submit your answer

 

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
is this question helpfull: 7 1 submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

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
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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
is this question helpfull: 7 1 submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

in the given diagram red lines are angle bisectors (interior and exterior)and X, Y, Z, W are the projections of A on these red lines

by angle bisector property all these 4 points will lie on the line BC (either externally or internally) so these points will be in a line

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