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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-2

  • question_answer
    If\[~x~=a\,sec\theta ,\text{ }y\text{ }=b\text{ }tan\theta \], then \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}\] is -

    A)  -1                   

    B)  0

    C)  1                    

    D)  2

    Correct Answer: C

    Solution :

     \[x=a\,\sec \theta \Rightarrow \frac{x}{a}=\sec \theta \]                ... (1) Similarly,\[\frac{y}{b}=\tan \theta \]                    ... (2) Squaring and subtracting them \[{{\left( \frac{x}{a} \right)}^{2}}-{{\left( \frac{y}{b} \right)}^{2}}={{\sec }^{2}}\theta -{{\tan }^{2}}\theta =\]


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