Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

201.

Find space dy over dx space where space straight x equals 4 straight t comma space straight y equals 4 over straight t

88 Views

202.

If space straight x equals straight a open parentheses fraction numerator 1 plus straight t squared over denominator 1 minus straight t squared end fraction close parentheses space and space straight y equals fraction numerator 2 straight t over denominator 1 minus straight t squared end fraction comma space find space dy over dx.

73 Views

203.

If space straight x equals fraction numerator 1 minus straight t squared over denominator 1 plus straight t squared end fraction comma space straight y equals fraction numerator 2 straight t over denominator 1 plus straight t squared end fraction comma space prove space that space dy over dx plus straight x over straight y equals 0.

76 Views

204.

Find space dy over dx space where space straight x equals fraction numerator straight a left parenthesis 1 minus straight t squared right parenthesis over denominator 1 minus straight t squared end fraction comma space straight y space equals fraction numerator 2 bt over denominator 1 minus straight t squared end fraction

73 Views

205.

Find space dy over dx space when space straight x equals straight e to the power of straight t. space log space straight t comma space straight y equals straight t. log space straight t.

74 Views

206.

Find space dy over dx when space straight x equals fraction numerator 3 at over denominator 1 plus straight t cubed end fraction comma space straight y equals fraction numerator 3 at squared over denominator 1 plus straight t cubed end fraction

86 Views

207.

If space space straight x equals fraction numerator 3 at over denominator 1 plus straight t squared end fraction comma space straight y equals fraction numerator 3 at squared over denominator 1 plus straight t squared end fraction comma space then space find space dy over dt space at space straight t equals 2

79 Views

208.

If space straight x equals fraction numerator 1 plus log space straight t over denominator straight t squared end fraction comma space straight y equals fraction numerator 3 plus 2 space log space straight t over denominator straight t end fraction comma space straight t greater than 0 comma space prove space that space straight y dy over dx minus 2 straight x open parentheses dy over dx close parentheses squared equals 1

75 Views

209.

For space straight a space positive space constant space straight a space find space dy over dx comma space where space straight y equals straight a to the power of straight t plus 1 over straight t end exponent comma space and space straight x equals open parentheses straight t plus 1 over straight t close parentheses to the power of straight a.

83 Views

Let space straight y equals 7 straight x to the power of 5 minus 11 space straight x squared space space and space straight u equals space 7 straight x squared minus 15 space straight x Then space it space is space required space to space find space dy over du Now space dy over du equals 35 straight x to the power of 4 minus 22 straight x space and space du over dx equals 14 straight x minus 15 therefore space space space space space dy over du equals fraction numerator dy over du over denominator du over dx end fraction equals fraction numerator 35 straight x to the power of 4 minus 22 straight x over denominator 14 straight x minus 15 end fraction.

92 Views