NDA MATHS QUESTION BANK

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  1. In triangle ABC,^ is equal to:


(a)


( )
(b)

( )
(c)

( )

(d)


( )


  1. In a triangle ABC,
    (b+c) cos A+ (c+a) cos B+ (a+b) cos C
    is:
    (a) 0 (b) 1 (c) a+b+c (d) 2(a+b+c)

  2. In a triangle ABC, if^ =^


, then the triangle is:^
(a) right angled (b) obtuse angled (c)
equilateral
(d) isosceles



  1. In a triangle ABC, if a= 2x, b= 2y,
    and C= 120, then the area of the
    triangle is:
    (a) xy (b) xy √ (c) 3 xy (d) 2 xy

  2. In a triangle ABC, cosec A (sin B
    cosC + cosB sinC) is equal to:
    (a) c/a (b) a/c (c) 1 (d) c/ab

  3. In triangle ABC, if tan^ tan^ =^ ,


then a, b, c are in:
(a) AP (b) GP (c) HP (d) none of these



  1. If triangle ABC, (b-c) sin A+(c-a) sin
    B+ (a-b) sin C is:
    (a) ab + bc + ca (b) (c) 0
    (d) none of these

  2. If in an equilateral triangle R=


√ cm, then the length of each side of
the triangle is:
(a) 1cm (b) 2cm (c) 3cm (d) none of
these



  1. In triangle ABC, cos A= , then
    the triangle is:
    (a) equilateral (b) isosceles (c) right
    angled (d) none of these

  2. In triangle ABC, if 8
    , then the triangle is:
    (a) right angled (b) equilateral (c)
    acute angled
    (d) obtuse angled

  3. If a sides of a triangle be ( +x+1),
    (2x+1) and ( - 1), then the greatest
    angle is:
    (a) 105 (b) 120 (c) 135 (d) none of
    these

  4. ABC is a triangle which is not
    isosceles, BC cos A= AB, cos C, then:
    (a) (b)
    (c) Area of triangle ABC= √^ (AB)
    (BC) (d) =

  5. The three angles A, B, and C of a
    triangle ABC are in AP and
    . If c= 50m, then what is the area of
    the triangle (in sq. metres)?
    (a)^ (b)^ √^ (c)^ √^ (d) 625

  6. In a triangle ABC, , then
    what is the value of tan A+tan C?
    (a) tan B (b) tan A. tan C (c) (d)^

  7. ABCD is a rhombus and K is the
    middle point of the side AB, CK is
    perpendicular to AB. What is the value
    of angle A?
    (a) 120 (b) 105 (c) 90 (d) 60

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