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Statement 1 : If -2h=a+b , then one li...

Statement 1 : If `-2h=a+b ,` then one line of the pair of lines `a x^2+2h x y+b y^2=0` bisects the angle between the coordinate axes in the positive quadrant. Statement 2 : If `a x+y(2h+a)=0` is a factor of `a x^2+2h x y+b y^2=0,` then `b+2h+a=0`

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  2. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the ...

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

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

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  5. Area of the triangle formed by the lines y^2-9x y+18 x^2=0a n d y=9 is

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

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  7. x+y=7 and a x^2+2h x y+a y^2=0,(a!=0) , are three real distinct line...

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  8. If the slope of one of the lines represented by a x^2+2h x y+b y^2=0 ...

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  9. Find the area of the triangle formed by the line x+y=3 and the angle b...

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

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  11. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1...

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

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  13. Find the equation of the bisectors of the angles between the lines ...

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  14. If theta is the angle between the lines given by the equation 6x^2+5x ...

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  15. The distance of a point (x1, y1) from two straight lines which pass th...

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  16. Prove that the product of the perpendiculars from (alpha,beta) to the ...

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  17. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0.

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  18. Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+...

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  19. Show that the equation of the pair of lines bisecting the angles be...

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  20. Find the angle between the straight lines joining the origin to the ...

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