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. y = 2 sin-1x × e cos-1(x-2) , then dy/dx is (A) ylog2/√(1-x 2 ) (B) ylog(2/e)/√(1-x 2 ) (C) y-1/√(1-x 2 ) (D) none of these 7. x = a cos 3 t, y = a sin 3 t , then dy/dx is (A) – tant (B) – cos t (C) – cosec t (D) – cot t 8. x = t 2 + t + 1, y = t 2 – t + 1; then dy/dx is (A) (2t+1)/(2t-1) (B) (2t-1)/(2t+1) (C) (2t+1)/(2t-1) 2 (D) none of these 9. x = a (1 – sint), y = a(1 – tan t) , then dy/dx is (A) sec 2 t (B) sec 3 t (C) cos 2 t (D) cos 3 t 10. y = log a (x 2 ) , then dy/dx at x = e, is (A) 2e (B) 1/e (C) 2/e (D) none of these

.         y = 2sin-1x × ecos-1(x-2) , then dy/dx is


           (A)    ylog2/√(1-x2)                            (B)  ylog(2/e)/√(1-x2)


           (C)    y-1/√(1-x2)                               (D)  none of these


 


7.        x = a cos3 t, y = a sin3 t , then dy/dx is


            (A) – tant                                           (B) –  cos t


            (C) – cosec t                                      (D) –  cot t


 


8.         x = t2 + t + 1,  y = t2 – t + 1;  then dy/dx is


            (A)   (2t+1)/(2t-1)                             (B) (2t-1)/(2t+1)


            (C)   (2t+1)/(2t-1)2                           (D) none of these


 


9.         x = a (1 –  sint), y = a(1 –  tan t) , then dy/dx  is


            (A) sec2t                                             (B) sec3t         


            (C) cos2t                                             (D) cos3t


 


10.       y = loga(x2) , then dy/dx at x = e, is      


             (A) 2e                                                (B) 1/e


             (C) 2/e                                               (D) none of these

Grade:12

1 Answers

Vijay Luxmi Askiitiansexpert
357 Points
12 years ago

Dear Kanika,

 

Please post the questions on forum one by one .. i.e one question in one postings .. 

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