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Consider a family of straight lines (x+y...

Consider a family of straight lines `(x+y)+lambda(2x-y+1)=0` . Find the equation of the straight line belonging to this family that is farthest from `(1,-3)dot`

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Find the straight line passing through the point of intersection of ...

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  2. The lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 are the sides of a square. ...

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  3. Consider a family of straight lines (x+y)+lambda(2x-y+1)=0 . Find the ...

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  4. Determine all the values of alpha for which the point (alpha,alpha^2) ...

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  5. If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+...

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  6. If the y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45...

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  7. If x/l+y/m=1 is any line passing through the intersection point of the...

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  8. Two sides of a rhombus OABC ( lying entirely in first quadrant or four...

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  9. The equation of straight line belonging to both the families of lines ...

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  10. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

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  11. If the algebraic sum of the distances of a variable line from the po...

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  12. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),((b^2-...

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  13. If a , b ,c are in harmonic progression, then the straight line ((x/a...

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  14. A variable line cuts n given concurrent straight lines at A1,A2...An s...

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  15. Prove that the area of the parallelogram formed by the lines 3x-4y+a=0...

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  16. Two sides of a rhombus lying in the first quadrant are given by 3x-4y=...

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  17. The equation of straight line passing through (-2,-7) and having an in...

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  18. Let A B C be a given isosceles triangle with A B=A C . Sides A Ba n dA...

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  19. A B C is an equilateral triangle with A(0,0) and B(a ,0) , (a>0). L, M...

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  20. Let L1=0a n dL2=0 be two fixed lines. A variable line is drawn through...

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