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. The lines `(a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0` form an isosceles triangle whose vertical angle is

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Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a + b)y-2ab = 0 . If the triangle is isosceles and the third side passes through point (b- a, a -b) , then the equation of third side can be

Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a + b)y-2ab = 0 . If the triangle is isosceles and the third side passes through point (b- a, a -b) , then the equation of third side can be

Triangle formed by variable lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(a+b)y-2ab=0 and x+y=0 is (where a, b in R )

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2(a x-b y)+(a+4b)=0 , 2(b x+a y)+(b-4a)=0

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively ,Tangent of internal angle A is equal to

The straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form a triangle which is (A) isosceles (B) right angled (C) equilateral (D) scalene

Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . Then, a)they form a triangle b)one line bisects the angle between the other two c) two of them are parallel

If the straight lines 2x+3y-1=0,x+2y-1=0 ,and a x+b y-1=0 form a triangle with the origin as orthocentre, then (a , b) is given by (a) (6,4) (b) (-3,3) (c) (-8,8) (d) (0,7)

Prove that the lines (b-c)x+(c-a)y+(a-b)=0, (c-a)x+(a-b)y+(b-c)=0 and (a-b)x+(b-c)y+(c-a)=0 are concurrent.

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Consider a A B C is which side A Ba n dA C are perpendicular to x-y-4...

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  2. Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2...

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  3. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

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  4. Each equation contains statements given in two columns which have to b...

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  5. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

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  6. The area of the triangular region in first quadrant bounded on the lef...

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  7. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0.

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  8. Lines L1-=a x+b y+c=0 and L2-=l x+m y+n=0 intersect at the point P and...

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  9. Let A B C be a triangle with A B=A Cdot If D is the midpoint of B C ,E...

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  10. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

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  11. A straight line L through the point (3,-2) is inclined at an angle 60^...

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  12. The locus of the orthocentre of the triangle formed by the lines (1+p)...

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  13. The vertices of a triangle are (A(-1,-7),B(5,1), and C(1,4)dot The equ...

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  14. Let the algebraic sum of the perpendicular distance from the points (2...

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  15. A straight line through the origin 'O' meets the parallel lines 4x +2y...

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  16. A straight line l with negative slope passes through (8,2) and cuts th...

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  17. A straight line L through the origin meets the lines x + y = 1 and x +...

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  18. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

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  19. The area of the triangle formed by the intersection of a line parallel...

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  20. The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...

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