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If a pair of perpendicular straight line...

If a pair of perpendicular straight lines drawn through the origin forms an isosceles triangle with the line `2x+3y=6` , then area of the triangle so formed is

A

`(a) 36/13`

B

`(b) 12/17`

C

`(c) 13/5`

D

`(d) 17/14`

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The correct Answer is:
C
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ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
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  2. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

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  3. The point (4,1) undergoes the following three successive transformatio...

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  4. f is a function defined by f(x) = |x - 1| + 3. Find f(-9).

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  5. The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A tr...

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  6. If P(1,0) ,Q(-1,0) and R(2,0) are three given points ,then the locus o...

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  7. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

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  8. The line x+y=1 meets X - axis at A and Y - axis at B,P is the mid poin...

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  9. Solve the following system of inequalities graphically : 4x + 6y le 24...

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  10. The straight lines x+ 2y -9 =0, 3x +5y - 5 = 0 and ax+by-1 = 0 are c...

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  11. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

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  12. Consider a point A(m,n) , where m and n are positve intergers. B is th...

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  13. A straight line L with negative slope passes through the point (8,2) a...

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  14. If a pair of perpendicular straight lines drawn through the origin f...

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  15. The number of integral values of m for which the x-coordinate of the p...

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  16. A ray of light passes through the point (1, 2) reflects on the x-axis ...

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  17. Consider the family of lines 5x+3y-2+lambda(1)(3x-y-4)=0 " and " x-y+1...

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  18. In triangle ABC, the equation of the right bisectors of the sides AB a...

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  19. Two particles start from the point (2,-1), one moves 2 units along the...

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  20. Let P be (5, 3) and a point R on y=x and Q on the x-axis be such that ...

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