# 24 - Co ordinate Geometry Questions Answers

**Asked By: SNEHA ARORA**5 year ago

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**Asked By: HARSH**5 year ago

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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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SCRA 2013

Suppose the figure 'A' is obtained by joining the points (2,2), (6,5), (10,2). The horizontal line Segment end Points (3,4) and (x,y). What is the value of x & y?

**1. x=7 & y= 4**

**2.x=3 & y= 4**

**3.x=9 & y= 4**

**4.x=6 & y= 4**

**Asked By: GAUTAM SAGAR**6 year ago

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### Tangents are drawn to the circle x^2 + y^2=12 at the points where it is met by the circle x^2 +y^2 - 5x + 3y - 2=0.Find the point of intersection of these tangents.

**Asked By: SUSHOVAN HALDAR**6 year ago

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

sovle the two eqs for x and y,

method :

### x^2 + y^2=12

on putting this in 2nd eq. we get -5x+3y = -10 so x = (3y+10)/5

so [(3y+10)/5]^{2 }+ y^{2}= 12

now get y then x, then get the tangents in the first circle and then intersection point of the tangents.

ƒ(x)=|x-2| and g=ƒoƒ so g'(x)=.......? ; 2<x<4

**Asked By: BONEY HAVELIWALA**6 year ago

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

for 2<x<4, f(x) = x-2

so g(x) = f(x-2) = x-2-2 = x-4

so g'(x) = 1

ƒ(x)=3|2+x| so ƒ'(-3)=? ,if its -3 , how?

**Asked By: BONEY HAVELIWALA**6 year ago

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

ƒ(x)=3|2+x|

for x>-2, f(x) = 3(2+x) so f^{'}(x) = 3

for x<-2, f(x) = -3(2+x) so f^{'}(x) = -3

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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if the latus rectum of any ellipse makes an angle of 90* <ninety degrees> at its centre then what will be its eccentricity?

**Asked By: RATTAN SINGH**7 year ago

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