Self Studies

Straight Lines ...

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  • Question 1
    1 / -0

    The points ( - a , - b ) , ( 0 , 0 ) , ( a , b ) and (a2,ab) are

  • Question 2
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    The locus of a point, whose abscissa and ordinate are always equal is

  • Question 3
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    The ortho centre of the triangle formed by lines xy = 0 and x + y = 1 is :

  • Question 4
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    In a ΔABC, if A is the point ( 1, 2 ) and equations of the median through B and C are respectively x + y = 5 and x = 4 , then B is

  • Question 5
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    The point on the axis of y which is equidistant from ( - 1 , 2 ) and ( 3 , 4 ) is

  • Question 6
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    A circle passes through the points $$(2, 3)$$ and $$(4, 5)$$. If its centre lies on the line, $$y - 4x + 3 = 0$$, then its radius is equal to

  • Question 7
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    The points A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) are the vertices of a-

  • Question 8
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    Slope of the line parallel to y-axis is.

  • Question 9
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    Area of a triangle formed by the points A(5, 2), B(4, 7) and C(7, -4) is _____.

  • Question 10
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    Distance between $$(2, 3)$$ and $$(4, 1)$$ is ____

  • Question 11
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    $$A(0, 0), B(7, 2), C(7, 7)$$ and $$D(2, 7)$$ are the vertices of a quadrilateral. The respective slopes of diagonals $$AC$$ and $$BD$$ are 

  • Question 12
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    Let $$\mathrm{P}(\mathrm{x}_{1},\mathrm{y}_{1})\mathrm{b}\mathrm{e}$$ any point on the cartesian plane then match the following lists:
     

     LIST - I     LIST - II
     $$\mathrm{A})$$ The distance from $$\mathrm{P}$$ to X-axis1) $$0$$
     $$\mathrm{B})$$ The distance from $$\mathrm{P}$$ to Y-axis2) $$|\mathrm{y}_{1}|$$
     $$\mathrm{C})$$ The distance from $$\mathrm{P}$$ to origin is  3) $$\sqrt{x_{1}^{2}+y_{1}^{2}}$$ 
     4)$$ |x_{1}|$$                                   

  • Question 13
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    If A and B are the points $$(-6,7)$$ and $$(-1,-5)$$ respectively, then the distance 2AB is equal to

  • Question 14
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    The points $$(-2, -1), (1, 0),(4, 3),$$ and $$(1, 2)$$ are the vertices 

  • Question 15
    1 / -0

    The area of a triangle whose vertices are $$(a, c+a), (a, c) $$ and $$(-a, c-a) $$ are 

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