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NDA - Straight Line Test 1196
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NDA - Straight Line Test 1196
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  • Question 1/5
    1 / -0.33

    The point (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c. What is the value of c?
    Solutions

    In rectangle,diagonals bisect each other

    Midpoint of (1,3),(5,1) is () = (3,2)

    (3,2) lies on y=2x+c

    2= 23 + C

    C=2-6=-4

  • Question 2/5
    1 / -0.33

    Find the distance between the parallel planes 2x+3y+4z=1 and 4x+6y+8z=12
    Solutions

    Given

    planes 2x+3y+4z=1 and 4x+6y+8z=12

    Formula Used

    Distance between two planes

    Calculation



    Equation of the planes 2x+3y+4z=1 and 4x+6y+8z=12 or 2x+3y+4z = 6

    We know that distance between ax+by+cz+d1=0 and ax+by+cz+d1=0 is




    hence option A is correct.

  • Question 3/5
    1 / -0.33

    What is the perpendicular distance of the point (x, y) from x–axis?
    Solutions

    Correct Answer is option D

    Equation of x-axis is y=0.We have to find perpendicular distance(d) from point (x,y)

  • Question 4/5
    1 / -0.33

    The acute angle which the perpendicular from origin on the line 7x–3y = 4 makes with the x–axis is
    Solutions

    Correct Answer is option C

    Given:

    The required line will be perpendicular to 7x-3y=4

    So its slope will be

    So the angle will be negative.

  • Question 5/5
    1 / -0.33

    What is the equation of the line which passes through (4, - 5) and is perpendicular to 3x + 4y + 5 = 0 ?
    Solutions

    Correct Answer is option A

    Two lines are perpendicular if slope of fisrt line  and slope second line  satisfy the condition

    The given equation 3x + 4y + 5 = 0

    Compaing with

    Let the line which pass through (4,-5) and perpendicular to 3x + 4y + 5 = 0 is

    Puttiny value of and in  we get,

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