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If the straight lines 2x+3y-1=0,x+2y-1=0...

If the straight lines `2x+3y-1=0,x+2y-1=0,and ax+by-1=0`form a triangle with the origin as orthocentre, then `(a , b)`is given by

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
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  2. In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A lie...

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  3. If the straight lines 2x+3y-1=0,x+2y-1=0,and ax+by-1=0form a triangle ...

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  4. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

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  5. If the area of the rhombus enclosed by the lines l x+-m y+-n=0 is 2 s...

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  6. In a triangle A B C , the bisectors of angles Ba n dC lies along the l...

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  7. If a/sqrt(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the fam...

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  8. P(m , n) (where m , n are natural numbers) is any point in the interio...

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  9. A diagonal of rhombus A B C D is member of both the families of lines ...

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  10. A regular polygon has two of its consecutive diagonals as lines sqrt(3...

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  11. Find the locus of the circumcenter of a triangle whose two sides are a...

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  12. A line L1=3y-2x-6=0 is rotated about its point of intersection with th...

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  13. Straight lines y=m x+c1 and y=m x+c2 where m in R^+, meet the x-axis ...

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  14. Show that the reflection of the line ax+by+c=0 in the line x+y+1=0 is ...

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  15. Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its...

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  16. The number of possible straight lines passing through (2,3) and formin...

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  17. In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0...

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  18. The sides of a triangle are the straight line x+y=1, 7y=x, and sqrt(3)...

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  19. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  20. The coordinates of two consecutive vertices A and B of a regular hexag...

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