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Statement-I : If the equation 4x^(2)+mxy...

Statement-I : If the equation `4x^(2)+mxy-3y^(2)=0` represents a pair of real and distinct lines then `m in R`.
Statement-II : If the difference of the slopes of the lines `kx^(2)-12xy + y^(2) = 0` is 2 then k is 30 Which of the above statement is correct :

A

only I

B

only II

C

Both I and II

D

Neither I nor II

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. Let y = mx and y = m^(1)x be the lines represented by the equation ax2...

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

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  3. Statement-I : If the equation 4x^(2)+mxy-3y^(2)=0 represents a pair of...

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  4. If the slopes of the lines represented by 6x^(2)+2hxy+y^(2)=0 are in t...

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

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  6. Assertion (A) : The slopes of one line represented by 2x^(2)–5xy+2y^(2...

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  7. Statement-I : If two of the lines represented by ax^(3) + bx^(2)y + cx...

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

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  9. If the slope of one of the lines represented by ax^(2) - 6xy + y^(2) =...

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  10. If the pairs of lines 3x^(2)-5xy+py^(2)=0 and 6x^(2)-xy-5y^(2)=0 have...

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  11. Equation of line common to pair of lines (p^(2)-q^(2))x^(2)+(q^(2)-r^(...

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  12. If 2x^(2)-3xy+y^(2)=0 represents two sides of a triangle and lx + my ...

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  13. If the line lx+my+n=0 meets the pair of lines 3x^(2)+7xy-5y^(2)=0 at A...

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  14. The equation of the pair of angular bisectors of the pair of lines xy ...

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  15. the line y=mx bisects the angle between the pair of ax^(2)-2hxy+by^(2)...

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  16. If 2x^2-5xy+2y^2=0 represents two equal sides of an isosceless triangl...

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  17. The lines 36x^(2)-33xy-20y^(2)=0 are equally inclined to the line

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  18. If 2x + 3y = 7 makes equal angles with pair of lines 9x^(2)+12xy+ky^(2...

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  19. If the lines ax^(2) + 2hxy + by^(2)= 0 are equally inclined with the c...

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  20. If the coordinate axes are the bisectors of the angles between the pai...

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