JEE (Main) Mathematics - Straight Line

Multiple Choice Questions (MCQs)

16. The slope of the line 3x + 4y - 12 = 0 is:

    • A) \( \frac{3}{4} \)
    • B) \( \frac{-3}{4} \) (Answer)
    • C) \( \frac{4}{3} \)
    • D) \( \frac{-4}{3} \)

17. The equation of a line passing through (1, 2) and having slope \( m = -2 \) is:

    • A) \( y - 2 = -2(x - 1) \) (Answer)
    • B) \( y + 2 = 2(x + 1) \)
    • C) \( y = 2x + 1 \)
    • D) \( y = -2x + 2 \)

18. The angle between the lines \( y = 2x + 3 \) and \( y = -\frac{1}{2}x + 1 \) is:

    • A) \( \tan^{-1}(5) \)
    • B) \( \tan^{-1}(3/4) \)
    • C) \( \tan^{-1}(1) \) (Answer)
    • D) \( \tan^{-1}(2) \)

19. If the lines \( 2x - y + 1 = 0 \), \( 3x + y - 7 = 0 \), and \( 4x - y + k = 0 \) are concurrent, the value of \( k \) is:

    • A) 3 (Answer)
    • B) 2
    • C) 1
    • D) 4

20. The distance of the point (3, -4) from the line \( 4x - 3y + 10 = 0 \) is:

    • A) 5 (Answer)
    • B) 6
    • C) 4
    • D) 3

21. The centroid of the triangle with vertices A(1, 2), B(3, 4), and C(5, 6) is:

    • A) \( (2, 3) \)
    • B) \( (3, 4) \) (Answer)
    • C) \( (3, 4) \)
    • D) \( (3, 5) \)

22. If the circumcentre of a triangle is at the origin, and its vertices are A(6, 0), B(0, 8), and C(6, 8), then the radius of the circumcircle is:

    • A) 5
    • B) 6
    • C) 10 (Answer)
    • D) 8

23. The equation of the straight line which passes through the origin and is perpendicular to the line \( 5x - 12y = 1 \) is:

    • A) \( 12x + 5y = 0 \) (Answer)
    • B) \( 12x - 5y = 0 \)
    • C) \( 5x + 12y = 0 \)
    • D) \( 5x - 12y = 0 \)

24. The orthocentre of a triangle with vertices A(0, 0), B(4, 0), and C(0, 3) is located at:

    • A) \( (1, 1) \)
    • B) \( (2, 1.5) \)
    • C) \( (0, 0) \) (Answer)
    • D) \( (2, 2) \)

25. The line passing through (3, 4) and parallel to \( y - 2x + 3 = 0 \) is:

    • A) \( y + 2x - 10 = 0 \)
    • B) \( y - 2x + 1 = 0 \) (Answer)
    • C) \( y - 2x + 3 = 0 \)
    • D) \( y + 2x + 10 = 0 \)

26. The coordinates of the circumcentre of the triangle with vertices A(0, 0), B(6, 0), and C(0, 8) are:

    • A) \( (3, 4) \) (Answer)
    • B) \( (2, 3) \)
    • C) \( (0, 4) \)
    • D) \( (3, 0) \)

27. If the equation of the straight line is \( y = 3x + c \), and it passes through the point (1, 5), the value of \( c \) is:

    • A) 5
    • B) 1 (Answer)
    • C) 2
    • D) 3

28. The perpendicular distance from the origin to the line \( 4x + 3y = 12 \) is:

    • A) 4 (Answer)
    • B) 5
    • C) 3
    • D) 6

29. The condition for the lines \( ax + by + c = 0 \), \( dx + ey + f = 0 \), and \( gx + hy + k = 0 \) to be concurrent is:

    • A) \( \frac{a}{d} = \frac{b}{e} = \frac{c}{f} \)
    • B) \( ae - bd = 0 \)
    • C) \( a(eh - fg) - b(dh - fg) + c(de - fg) = 0 \) (Answer)
    • D) \( ad - bc = 0 \)

   l    Next Page >>

Note/Caution: studentsbizz.com does not promise a job or an interview in exchange for money. Fraudsters may ask you to pay under the pretext of a registration fee or refundable fee, but please be aware that legitimate employers will not require such payments.

Join in Our Groups

Home Latest Jobs Syllabus Projects Previous Question Papers Entrance Exam Notifications Multiple Choice Question

@ 2025 Students Bizz Platform. All Rights Reserved.