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Assertion (A) : 3x^(2)+4xy+y^(2)=0 and 7...

Assertion (A) : `3x^(2)+4xy+y^(2)=0 and 7x^(2)+12xy+y^(2)=0` are equally inclined to each other.
Reasom (R): The pair of lines `ax^(2)+2hxy+by^(2)=0 and px^(2)+2qxy+ry^(2)=0` are equally inclined to each other.

A

A is true, R is true and R `rArr A`

B

A is true, R is true and `R cancel rArr A`

C

A is true, R is false

D

A is false, R is true

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. 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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  2. The combined equation of the lines l(1), l(2) is 2x^(2)+6xy+y^(2)=0 a...

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  3. Assertion (A) : 3x^(2)+4xy+y^(2)=0 and 7x^(2)+12xy+y^(2)=0 are equally...

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  4. If the pair of lines ax^(2)+2hxy+by^(2)=0 (h^(2) gt ab) orms an equila...

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  5. The triangle formed by the pair of lines x^(2)+16x-y^(2)=0 and x-2y+13...

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  6. Area of triangle formed by pair of lines (x+2a)^2-3y^2=0 and x=a is

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  7. The triangle formed by the pair of lines x^(2)-4y^(2)=0 and x-a=0 is a...

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  8. The triangle formed by 2x+3y+7=0 and the pair (2x+3y)^(2)-3(3x-2y)^(2)...

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  9. The area of the triangle formed by two rays whose combined equation is...

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  10. The area of triangle formed by x+y+1 = 0 and x^(2)-3xy+2y^(2)=0 is

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  11. If a + b = 2h , then the area of the triangle formed by the lines ax^(...

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  12. Area of triangle formed by pair of lines (x+2a)^2-3y^2=0 and x=a is

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  13. The area of the triangle formed by the straight line x + y = 3 and the...

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  14. The distance from a point (alpha,beta) to a pair of lines passing thro...

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

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  16. If the centriod of triangle formed by the lines 2y^(2)+5xy-3x^(2)=0 an...

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  17. If two sides of triangle are given by x^(2)-xy-6y^(2)=0 and the centro...

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  18. Centriod of triangle formed by lines 8x^(2)-14xy+5y^(2)=0, x-2y+3=0 is

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  19. The orthocentre of the triangle formed by the lines x+3y-10 and 6x^(2)...

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  20. the orthocentre of the triangle formed by the lines x+y = 1 and 2y^(2)...

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