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Statement 1:If the point (2a-5,a^2) is o...

Statement 1:If the point `(2a-5,a^2)` is on the same side of the line `x+y-3=0` as that of the origin, then `a in (2,4)` Statement 2: The points `(x_1, y_1)a n d(x_2, y_2)` lie on the same or opposite sides of the line `a x+b y+c=0,` as `a x_1+b y_1+c` and `a x_2+b y_2+c` have the same or opposite signs.

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Statement I If sum of algebraic distances from points A(1,2),B(2,3),C(...

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  2. Each question has four choice: a, b, c and d, out of which only one is...

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  3. Statement 1:If the point (2a-5,a^2) is on the same side of the line x+...

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  4. Statement 1: Each point on the line y-x+12=0 is equidistant from the l...

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  5. If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...

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  6. the diagonals of the parallelogram formed by the the lines a1x+b1y+c1=...

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  7. If the lines joining the origin and the point of intersection of curve...

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  8. Prove that the angle between the lines joining the origin to the point...

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  9. Prove that the straight lines joining the origin to the point of in...

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  10. If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...

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  11. Find the value of a for which the lines represented by a x^2+5x y+2y^2...

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  12. Find the acute angle between the pair of lines represented by (xcosalp...

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  13. If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...

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  14. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

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  15. The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is...

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  16. The lines joining the origin to the point of intersection of 3x^2+m x ...

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  17. If the slope of one line is double the slope of another line and the ...

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  18. Find the combined equation of the pair of lines through the point (1, ...

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  19. The value k for which 4x^2+8x y+k y^2=9 is the equation of a pair of s...

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  20. The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicula...

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