PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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1. \(A(1,-2)\), \(B(6,-2)\), \(C(5,1)\) and \(D(2,1)\) be four points
 
(i) Find the slope of the line segment (a) \(AB\) (b) \(CD\)
 
(ii) Find the slope of the line segment (a) \(AD\) (b) \(BC\)
 
(iii) What can you deduce from your answer.
 
Answer:
 
(i)(a) Slope of the line segment \(AB =\)
 
(b) Slope of the line segment \(CD =\)
 
(ii) (a) Slope of the line segment \(AD =\)
 
(b) Slope of the line segment \(BC =\)
 
(iii) The line segments \(AB\) and \(CD\) are . Similarly, the line segments \(AD\) and \(BC\) are .
 
Therefore, the quadrilateral \(ABCD\) is a .
 
2. Consider the given growth of population graph. Find the slope of the line \(AB\) and hence estimate the population in the year \(2030\)?
 
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Answer:
 
Slope of \(AB =\) ii
 
The estimated population in \(2030\) is  \(Crores\).
 
3. Without using Pythagoras theorem, show that the vertices \((1,-4)\), \((2,-3)\) and \((4,-7)\) form a right angled triangle.
 
Answer:
 
Slope of \(AB =\)
 
Slope of \(BC =\)
 
Slope of \(AC =\)
 
Therefore, \(\triangle ABC\) is  because the product of the slopes of \(AB\) and \(AC\) is .