# 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**6 year ago

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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**6 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

**Asked By: SHEIKH SARTAJ**7 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**7 year ago

**Solved By: SARIKA**

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**Asked By: BUDDHI PRAKASH**7 year ago

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**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.

**Asked By: BUDDHI PRAKASH**7 year ago

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**Asked By: BUDDHI PRAKASH**7 year ago

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**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