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If the lines given by ax^(2)+2hxy+by^(2)...

If the lines given by `ax^(2)+2hxy+by^(2)=0` are equally inclined to the lines given by `ax^(2)+2hxy+by^(2)+lambda(x^(2)+y^(2))=0`, then

A

`lambda` is any real number

B

`lambda=2`

C

`lambda=1`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-PAIR OF STRAIGHT LINES-Chapter Test
  1. If the lines given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the...

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  2. The equation to the striaght lines passing through the origin and maki...

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

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  4. If the area of the triangle formed by the pair of lines 8x^2 - 6xy + y...

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  5. The lines bisecting the angle between the bisectors of the angles betw...

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  6. The pair of lines sqrt3x^(2)-4xy+sqrt3y^(2)=0 are rotated about the or...

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  7. If two of the lines given by the equation ax^(3)+bx^(2)y+cxy^(2)+dy^...

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  8. Two of the lines represented by the equation a y^4 + b x y^3 + c x^2 y...

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  9. The pairs of straight lines ax^(2)-2hxy-ay^(2)=0 and hx^(2)-2axy-gy^(2...

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  10. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

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  11. if x^2/a+y^2/b+(2xy)/h=0 represent pair of straight lines and slope of...

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  12. If the lines represented by the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=...

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  13. The distance between the two lines represented by the sides of an equi...

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  14. The equation of the image of the lines y=|x| in the line mirror x = 2 ...

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  15. If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straigh...

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  16. The equation of second degree x^2+2sqrt2x+2y^2+4x+4sqrt2y+1=0 represen...

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  17. The value of lambda for which the equation x^2-y^2 - x - lambda y - ...

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  18. Distance between the pair of lines represented by the equation x^(2)-6...

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  19. The equation x^2 - 3xy+ lambday^2 + 3x - 5y + 2 = 0 where lambda is a ...

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