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Exercise 5.6 - Chapter 5 Continuity & Differentiability class 12 ncert solutions Maths - SaraNextGen [2024]


Question 1:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6979/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6979/Chapter%205_html_40388a4c.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6979/Chapter%205_html_2586dc24.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6979/Chapter%205_html_689f5229.gif

Question 2:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6980/Chapter%205_html_51dda3f3.gif .

x = a cos θy = b cos θ

Answer:

The given equations are x = a cos θ and y = b cos θ

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6980/Chapter%205_html_298f8226.gif

Question 3:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6981/Chapter%205_html_51dda3f3.gif .

x = sin ty = cos 2t

Answer:

The given equations are x = sin t and y = cos 2t

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6981/Chapter%205_html_3ed7b1fd.gif

Question 4:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6982/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6982/Chapter%205_html_cf72344.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6982/Chapter%205_html_m62d91ff.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6982/Chapter%205_html_4ae74387.gif

Question 5:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6983/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6983/Chapter%205_html_m61204350.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6983/Chapter%205_html_7c434e2.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6983/Chapter%205_html_88d11c7.gif

Question 6:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6984/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6984/Chapter%205_html_53f8470a.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6984/Chapter%205_html_m3709b23c.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6984/Chapter%205_html_65b29f2c.gif

Question 7:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6985/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6985/Chapter%205_html_m33c9ca76.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6985/Chapter%205_html_m3de5aa4.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6985/Chapter%205_html_m63668abf.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6985/Chapter%205_html_1d45c44d.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6985/Chapter%205_html_530f4da5.gif

Question 8:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6986/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6986/Chapter%205_html_201f59d8.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6986/Chapter%205_html_eb65268.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6986/Chapter%205_html_m180a8a0b.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6986/Chapter%205_html_1e944e50.gif

Question 9:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6987/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6987/Chapter%205_html_m53583e57.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6987/Chapter%205_html_4ec41ea3.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6987/Chapter%205_html_m426d257d.gif

Question 10:

If x and y are connected parametrically by the equation, without eliminating the parameter, findhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6988/Chapter%205_html_51dda3f3.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6988/Chapter%205_html_m4c97a497.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6988/Chapter%205_html_11d3141d.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6988/Chapter%205_html_ma7ce51.gif

Question 11:

Ifhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6989/Chapter%205_html_2d605598.gif

Answer:

The given equations arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6989/Chapter%205_html_60faf63f.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6989/Chapter%205_html_m211dfd34.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6989/Chapter%205_html_643d06c3.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/15/234/6989/Chapter%205_html_m39cfcd1.gif

Hence, proved.

Also Read : Exercise-5.7-Chapter-5-Continuity-&-Differentiability-class-12-ncert-solutions-Maths

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