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The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x...

The lines `p(p^2+1)x-y+q=0` and `(p^2+1)^2x+(p^2+1)y+2q=0` are perpendicular to a common line for

A

more than two value of p

B

no value of p

C

exactly one value of p

D

exactly two values of p

Text Solution

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The correct Answer is:
C
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
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  2. If the lines x(sinalpha+sinbeta)-ysin(alpha-beta)=3 and x(cosalpha+c...

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  3. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

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  4. The points A(x,y), B(y, z) and C(z,x) represents the vertices of a rig...

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  5. If A(1,1),B(sqrt(3)+1,2) and C(sqrt(3),sqrt(3)+2) be three vertices of...

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  6. A(-2,4),B(-1,2),C(1,2) and D(2,4) are the vertices of a quadrilateral....

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  7. The four sides of a quadrilateal are given by xy(x-2)(y-3)=0. A line i...

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  8. The vertex C of a triangle ABC moves on the line L-=3x+4y+5=0. The c...

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  9. The three lines 4x - 7y + 10 , x + y = 5 and 7x+ 4y = 15 form the sid...

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  10. The equation of the base of an equilateral triangle is x+y=2 and the v...

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  11. The distance between the lines 4x+3y=11 and 8x+6y=15 is

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  12. The distance between the lines 3x+4y=9 and 6x+8y=15 is

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  13. A variable point (1+(lamda)/(sqrt(2)),2+(lamda)/(sqrt(2)))lies in betw...

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  14. The sum of the abscissas of all the point on the line x+y=4 that lie a...

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  15. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

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  16. Points on the line x+y=4 that lie at a unit distance from the line 4x+...

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  17. If 2p is the perpendicular distance from the origin to the line x/a+y/...

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  18. If a,b,c are in H.P then the straight line x/a+y/b+1/c=0 always passes...

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  19. Let the algebric sum of the perpendicular distance from the points (2,...

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  20. If a,b,c are related by 4a^(2)+9b^(2)-9c^(2)+12ab=0 then the greatest ...

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