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

If the pair of lines `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` intersect on the y-axis, then bc=

A

`g^(2)`

B

`f^(2)`

C

fg

D

`2f^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Statement 1: If -2h =a+b , then one line of the pair of lines ax^(2)+2hxy+by^(2)=0 bisects the angle between coordinate axes in positive quadrant. Statement 2: If ax + y (2h + a) = 0 is a factor of ax^(2)+2hxy+by^(2)=0 , then b + 2h +a=0

AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
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  2. If (1, k) is the point of intersection of the lines given by 2x^(2)+5x...

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  3. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y...

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  4. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y...

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  5. The acute angle between the pair of lines2x^(2)+5xy+2y^(2)-17x-19y+35=...

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  6. The acute angle between the pair of lines xy+3x+3y+9=0 is

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  7. If theta is acute angle between the pair of lines x^(2)-3xy+2y^(2)+3x-...

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  8. If lamdax^(2)+6xy+9y^(2)+4x+12y+3=0 represents a pair of straight lien...

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  9. If the equation 2xy + gx + fy + 5 = 0 repre sents a pair of lines, the...

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  10. If 8x^(2)-14xy+5y^(2)=0 represents two sides of a triangle and centri...

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  11. 2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid...

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  12. Find the centroid and the area of the triangle formed by the lines 12x...

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  13. Orthocentre of the triangle formed by line 3x^(2)-xy-2y^(2)=0 and 2x+3...

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  14. Orthocentre of the triangle formed by lines 2x^(2)-3xy-2y^(2)=0 and 3x...

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  15. If two sides of a triangle lie along 3x^(2)-xy-2y^(2)=0 and its orthoc...

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  16. If 9x^(2)-24xy+ky^(2)-12x+16y-12=0 represents a pair of parallel lines...

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  17. If the equation 9x^(2)+24xy+by^(2)-12x+2fy-12=0 represents a pair of p...

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  18. If the distance between the pair of parallel lines x^(2)+2xy+y^(2)-8ax...

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  19. The length of the intercept on the x-axis cut by the pair of lines 2x^...

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  20. The length of the intercept on the y-axis cut by the pair of lines 2x^...

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