SOLUTIONS OF TRIGONOMETRIC EQUATIONS Ch:14 Fsc First Year consist of 50+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1   Solution set of 2cos = 0 is  (a)   finite (b)  infinite (c)  (d)  None (Gujranwala board,2004) Q.2   The general solution of the equation 1+cos x = 0 is (a)  (b)  (c)  (d)  (Multan board,2004) Q.3   If sin x = 1/ 2, then x =  (a)    (b)  (c)  (d)      (Gujranwala board,2006) Q.4   Solution of 1 + cos x= 0 is  (a)      (b)      (c)    2  (d)   None of these Q.5   cos x = has a solution (a)  (b)  (c)  (d)  (Lahore board,2005) Q.6   If sin x + cos x = 0, then x = (a)  (b)  (c)  (d) None of these (Lahore board,2004) Q.7   Solutions of the equation 1+cos =0 are in quadrants (a) II & III (b)  I & IV (c)  II & IV (d)  None of these (Lahore board,2006)  

INVERSE TRIGONOMETRIC FUNCTIONS MCQs Ch:13 Fsc First Year consist of 50+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1   The inverse of a function is a function if the function is (a)   1-1 (b)   onto (c)   function is onto (d)    all of these (Gujranwala board,2006) Q.2  = (a)      (b)      (c)      (d)     None (Gujranwala board,2004) Q.3    = (a)    (b)  (c)    (d)  (Lahore board,2005) Q.4    The value of  is (a)  (b)  (c)  (d)  None (Multan board,2004) Q.5    is equal to (a)    (b)  (c) 2 (d) (Gujranwala board,2007)  

APPLICATIONS OF TRIGONOMETRY  MCQs Ch:12 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1 The right angled triangle has one of its angles of measure (a)   360° (b)   270⁰ (c)    225⁰ (d)    90⁰ (Lahore board,2005) Q.2  The greatest angle is Opposite to (a)   smallest side (b)   greatest side (c)    same side (d)    right side (Lahore board,2007) Q.3  In-radius r of a triangle is (a)  (b)  (c)    (d)    None of these (Lahore Board,2004) Q.4   A circle passing through the vertices of a triangle is called (a)   circum-circle (b)   in-circle (c)    escribed circle (d)     None of these (Gujranwala board,2006) Q.5   If in a right angled triangle base=30.8, hypotenuse = 37.2. then will be  (a)   0.7032 (b)   0.8280 (c)    0.7513 (d)    0.8655 (Lahore board,2007)

TRIGONOMETRIC FUNCTIONS AND THEIR GRAPHS MCQs Ch:11 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1  The domain of sin x is  (a)   [-1,1] (b)    R (c)    R-{0} (d)    R-{1} Q.2  The domain of cos x is  (a)   [-1,1] (b)    R (c)    R-{0} (d)    R-{1} Q.3   The range of sin x is  (a)   [-1,1] (b)   [-1,0] (c)     [-2,2] (d)    None of these  Q.4  The range of cos x is  (a)   [0,1] (b)   [-1,0] (c)     R (d)     [-1,1] Q.5 Domain of cos x is  (a)    Z (b)    Q (c)     R (d)    None of these  

TRIGONOMETRIC IDENTITIES MCQs Ch:10 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1   sin (-) =  (a)    sin (b)    - sin (c)      - cos (d)       cos (Lahore board,2007) Q.2   sec (-300⁰) = (a)   4 (b)   3 (c)   2 (d)    1 Q.3   cot( -855) = (a)    2 (b)    1 (c)   -1 (d)  0 Q.4   sec(-960)= (a)    2 (b)    1 (c)    -1 (d)    -2 Q.5   tan(-135⁰)= (a)    (b)  (c)    (d)    1   

FUNDAMENTALS OF TRIGONOMETRY MCQs Ch:09 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1  ⁰  is measured in (a)   Circular system  (b)   Sexagesimal system  (c)    MKS system  (d)    CGS System (Lahore board,2007) Q.2      rotation (anti-clockwise) = (a)    45⁰ (b)    90⁰ (c)    180⁰ (d)    360⁰ (Lahore board,2004) Q.3    If l and r are in cms, then unit of is in (a)   radians  (b)   degrees  (c)   cm² (d)   None of these (Lahore board,2005) Q.4  If sin, then  is (a)    60⁰ (b)    30⁰ (c)    180⁰ (d)    45⁰ (Gujranwala board,2005) Q.5    If sin, then  is (a)  30⁰ (b)   45⁰ (c)   90⁰ (d)  None of these  (Multan board,2004)

MATHEMATICAL INDUCTION AND BINOMIAL THEOREM MCQs Ch:08 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1     In the Expression ( a + b) ⁷, the 2nd term is (a)     a⁷ (b)     7a⁶b (c)      7ab⁶ (d)      None ( Gujranwala board,2004) Q.2    The inequality n! > -1 is valid if (a)    n = 3 (b)    n   3 (c)    n < 4 (d)   n 4 ( Lahore board,2006) Q.3   The coefficient of the last term (a -b)⁵ is (a)   1 (b)   -1 (c)    0 (d)    None Q.4   The number of terms in the expression ( a + b)¹²  is (a)    13 (b)    12 (c)    11 (d)   10 Q.5   The middle term in the Expression (a + b) ¹² is (a)   6th term (b)   7th term (c)    8th term (d)    9th term  

PERMUTATIONS, COMBINATIONS AND PROBABILITY MCQs Ch:07 Fsc First Year consist of 150+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1 The factorial of a positive integer n is n! = (a) n(n-1)(n-2)(n- 3)...3.2.1 (b) (n-1)(n-2)(n-3)...3.2.1 (c) (n+ 1)n(n- 1)(n-2)(n-3)...3.2.1 (d) (n- 2)(n-3)...3.2.1 Q.2 The factorial of a positive integern is (a) n! = n(n-1)!(n-2)! (b) n!= n(n+2)! (c) n! =n(n-2)! (d) n! = n(n-1)! (Gujranwala Board, 2007 ) Q.3 If n is any positive integer, then (a) (n+1)! = (n+ 1)n! (b) (n+1)! = (n+ 1)(n-1)! (c) n! = n(n-2)! (d) n! = n(n+ 1)! Q.4 For a negative integer n, the factorial n! (a) is unique (b) is 0. (c) does not exist (d) is 1 Q.5 0! = (a) 0 (b) 1 (c)  -i (d) 2 (Lahore Board, 2007)

SEQUENCES AND SERIES MCQS Ch:06 Fsc First Year consist of 50+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1 A function whose domain is the set of natural numbers is called the (a) sequence (b) series (c) identity function (d) onto function Q.2 If   = 2n - 5, its nth term is  (a) 2n +1 (b) 2n +3 (c) 2n - 2 (d) 2n - 8 (Gujranwala Board, 2007) Q.3 A sequence in which any term-minus its immediate previous term. gives a constant is called the (a) geometric sequence (b) arithmetic sequence (c) harmonic sequence  (d) complex sequence Q.4 The next two terms of the sequence 1, 3, 7, 15, 31, ... are (a) 112, 288 (b) 122, 144 (c) 102, 188 (d) none of above (Multan Board, 2004) Q.5 The difference of two consecutive terms of an arithmetic sequence is called its (a) arithmetic mean  (b) geometric mean  (c) common ratio  (d) common difference

PARTIAL FRACTIONS MCQS Ch:05 Fsc First Year consist of 50+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon. Q.1 A relation in which the equality is true only for a number of unknowns is called an (a) identity (b) equation (c) algebraic equation (d) algebraic relation Q.2 A relation in which the equality is true for any value of unknowns is called an (a) identity (b) equation (c) algebraic equation (d) algebraic relation  Q.3   is (a) a transcendental equation (b) cubic equation (c) an identity (d) an equation Q.4 The identity (x + 3)(x + 4) = x²+ 7x+12 is true for (a) two values of x (b) one value of x (c) all values of x  (d) none of these (Lahore Board, 2004) Q.5 The function of the form     , where p(x) and q(x) are polynomials in x is known as (a) identity (b) equation (c) fraction  (d) algebraic relation (Lahore Board, 2005)