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The angle between the lines 2x^2-7x y+3y...

The angle between the lines `2x^2-7x y+3y^2=0` is 1.`60^0` 2. `45^0` 3. `tan^(-1)(7//6)` 4. `30^0`

A

`60^(@)`

B

`45^(@)`

C

`tan^(-1)((7)/(6))`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `=2, b=3 and h=-(7)/(2)`
Let `theta` be the angle between the lines represented by `2x^(2)-7xy+3y^(2)=0`. Then,
`tan theta=(2sqrt((49)/(4)-6))/(5)=1rArrtheta=45^(@)`
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OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Chapter Test
  1. The angle between the lines 2x^2-7x y+3y^2=0 is 1.60^0 2. 45^0 3....

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  2. If the lines given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the...

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  3. The equation to the striaght lines passing through the origin and maki...

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  4. Prove that the limiting points of the system x^(2)+y^(2)+2gx+c+lamda(x...

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  5. If the area of the triangle formed by the pair of lines 8x^2 - 6xy + y...

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  6. The equation to the pair of straight lines bisecting the angles betwe...

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  7. If the pair of lines sqrt(3)x^2-4x y+sqrt(3)y^2=0 is rotated about the...

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  8. Show that if two of the lines ax^3+bx^2y+cxy^2+dy^3=0 (a ne 0) make co...

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  9. If the pairs of straight lines ax^2+2hxy-ay^2=0 and bx^2+2gxy-by^2=0 b...

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  10. The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 repre...

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  11. If (x^(2))/(a) + (y^(2))/(b) + (2xy)/(h) =0 represent pair of straig...

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  12. If the lines represented by the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=...

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  13. The distance between the two lines represented by the  sides of an equ...

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  14. The equation of the image of the lines y=|x| in the line mirror x = 2 ...

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  15. If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straigh...

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  16. The equation of second degree x^2+2sqrt2xy+2y^2+4x+4sqrt2y+1=0 represe...

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  17. The value of lambda for which the equation x^2-y^2 - x - lambda y - ...

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  18. Distance between the pair of lines represented by the equation x^(2)-6...

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  19. The equation x^2 - 3xy+ lambday^2 + 3x - 5y + 2 = 0 where lambda is a ...

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