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The value k such that 3x^2+11xy+10y^2+7x...

The value k such that `3x^2+11xy+10y^2+7x+13+k=0` represents a pair of straight lines is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)
  1. The value k such that 3x^2+11xy+10y^2+7x+13+k=0 represents a pair of ...

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  2. If a:b: c=1:2:3 then the lines represented by ax^(2)+bxy+cy^(2)=0 are

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  3. If the equation ax^3+3bx^2y+3cxy^2+dy^3=0 (a,b,c,d ne 0) represents th...

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  4. If theta(2) and theta(2) are the angles made by the lines (x^(2)+y^(2)...

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  5. y=mx is one of the lines represented by ax^2+2hxy+by^2=0 if a+2hm+bm^2...

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  6. If one of the lines given by 6x^(2)-xy+4cy^(2)=0 is 3x+4y=0 then 'c' e...

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

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  8. The difference of the slopes of the lines represented by x^2(tan^2thet...

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  9. If the slope of one line is double the slope of another line of the pa...

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  10. If the slope of one of the line given by 6x^2+2hxy+72y^2=0 " is four t...

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  11. If s and p are respectively the sum and the product of the slopes of t...

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  12. Angle between the lines x^(2)+2xysecalpha+y^(2)=0 is

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  13. If theta is the acute between the pair of lines x^(2)+3xy-4y^(2)=0 the...

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  14. If the angle alpha is acut, then the acute angle between the pair of s...

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  15. Equation of pair of lines through (0,0) and forming an equitateral tri...

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  16. If the product of perpendiculars from (k,k) to the pair of lines x^2+4...

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  17. The line y=3x bisects the angle between the lines ax^2+2axy+y^2=0 if a...

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

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  19. If the pairs of straight lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)...

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  20. The pair of lines a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by...

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