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Detemine all values of alpha for which t...

Detemine all values of `alpha` for which the point `(alpha, alpha^(2))` lines inside the triangle formed by the lines `2x+3y-1=0, x+2y-3=0 and 5x-6y-=1`

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The correct Answer is:
`-(3)/(2) lt alpha lt -1 and (1)/(2) lt alpha lt 1`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. Let ABC be a triangle with AB=AC. If D is the mid point of BC,E , foot...

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  2. Lines L(1)= ax+by+c=0 and L(2) -= lx+ mu+n=0 intersect at the point P ...

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  3. Detemine all values of alpha for which the point (alpha, alpha^(2)) li...

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  4. A line through A(-5-4) meets of lines x+3y+2=0, 2x+y+4 and x-y-5=0 at ...

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  5. Find the radius of the smallest circle which touches the straight lin...

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  6. If a circle passes through the points of intersection of the coordinat...

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  7. Let a circle be given by 2x(x-a)+y(2y-b)=0 ( a ne 0, b ne 0). Find the...

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  8. The equation of two side of a triangle are y=m(1) x and y= m(2)x, wher...

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  9. In a triangle ABC, coordinates of A are (1,2) and the equations of the...

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  10. One diagonal of a square is the portion of the line (x)/(a)+(y)/(b)=1....

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  11. A circle of radius r passes through the origin and intersects the x-ax...

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  12. The coordinates of A,B,C are (2,1) (6,-2) and (8,9) respectively. Find...

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  13. Find the equations to the straight lines passing through the foot of ...

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  14. By parallel transformation of coordinate axes to a properly chosen poi...

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  15. Show thathte coefficients of x^(2),xy and y^(2) "in" ax^(2)+2hxy+by^(2...

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  16. Prove that the area of the triangle with vertices (p,q),(x(1),y(1)) an...

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  17. The base of triangle passes through a fixed point (f,g) and its other ...

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  18. The straight line ax+by=1 intersect the circle x^(2)+y^(2)=c^(2) at P ...

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  19. The equations of two equal sides AB and AC of an isosceles triangle AB...

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  20. One diagonal of a square is the portion of the straight line 7x+5y=35 ...

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