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S88 - Three points method to sketch y = a*x^2 + b*x + c
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S94 - Three points and two lines method to sketch y = tan(x)
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S95 - Three points and two lines method to sketch y = sec(x)
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S19 - Transformation matrix : Circle trsnsformation
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S26 - Trapzoid method : Area bounded by y = F(x) and x-axis
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F149- Triangles in triangles patterns
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S49 - Triangle : Angles of triangle in consecutive GP terms and r = 3
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S109- Triangle : Area of triangle formed by medians of triangle ABC
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S46 - Triangle : Construct triangle using 3 given heights
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S45 - Triangle : Construct triangle using 3 given medians
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S71 - Triangle : Divide triangle ABC into four equal area triangles
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S50 - Triangle : Median CF of triangle ABC
- Prove that AC^2 + BC^2 = 2*(CF^2) + (AB^2)/2
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S111- Triangle : Ortho-center, centroid, circum-center colinear
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S110- Triangle : Three heights of triangle ABC are concurrent
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S108- Triangle : Three medians of triangle ABC are concurrent
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S72 - Triangle : Triangle ABC has 4 triangle by joining mid points
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S73 - Triangle : E,F,T on sides.
- Area EFT = (area ABC)*(n^2 - 3*n + 3)/(n^2)
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S74 - Triangle : E,F,T on sides. Area EFT = 7*(area ABC)/24
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S105- Twin patterns of R = sin(p*A/q)^M and R = cos(p*A/q)^M
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F425- Twin patterns : R = sin(p*A/2) and R = cos(p*A/2)
- 1. Prove that graph of R = sin(p*A/2) has 2*p petals if p is odd
- 2. Prove that graph of R = cos(p*A/2) has 2*p petals if p is odd
- 3. Twin patterns of R = sin(p*A/2) and R = cos(p*A/2) if p is odd
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