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The two lines represented by 3ax^(2)+5xy...

The two lines represented by `3ax^(2)+5xy+(a^(2)-2)y^(2)=0` are perpendicular to each other for

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Find the value of a for which the lines represented by a x^2+5x y+2y^2=0 are mutually perpendicular.

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the combined equation of the pair of lines through the point (1,0...

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  2. The value k for which 4x^(2)+8xy+ky^(2)=9 is the equation of a pair of...

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  3. The two lines represented by 3ax^(2)+5xy+(a^(2)-2)y^(2)=0 are perpendi...

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  4. If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisector of ...

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  5. The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-...

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  6. The straight lines represented by the equation 135 x^2-136 x y+33 y^2=...

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  7. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

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  8. Statement 1 : If -2h=a+b , then one line of the pair of lines a x^2+...

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  9. Show that all chords of the curve 3x^(2)-y^(2)-2x+4y=0, which subtend...

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  10. The distance between the lines (x+7y)^(2)+4sqrt(7)(x+7y)-42=0 is .

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  11. x+y=7andax^(2)+2hxy+ay^(2)=0,(ane0), are three real distinct lines for...

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  12. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 ...

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  13. int{(2 - 3sinx)/cos^2x} dx

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  14. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

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  15. Let PQR be a right - angled isosceles triangle , right angled at P(2,1...

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  16. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

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  17. Find the equation of the bisectors of the angles between the lines j...

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  18. If theta is the angle between the lines givne by the equation 6x^(2)...

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  19. The dis tance of a point (x(1),y(1)) from each of the two straight li...

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  20. prove that the product of the perpendiculars drawn from the point (x1,...

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