Column I consist of some terms where a,b,c are in HP and Column II consist of name of…
Mathematics · JEE Advanced · NTA Exams — Progression and Series
Column I consist of some terms where a,b,c are in HP and Column II consist of name of corresponding progression formed by terms in column I.
Column - I Column - II
(I) \(\frac{\mathrm{a}}{\mathrm{~b}+\mathrm{c}-\mathrm{a}}, \frac{\mathrm{~b}}{\mathrm{c}+\mathrm{a}-\mathrm{b}}, \frac{\mathrm{c}}{\mathrm{a}+\mathrm{b}-\mathrm{c}}\) (p) HP
(II) \(\frac{1}{\mathrm{~b}-\mathrm{a}}, \frac{1}{\mathrm{~b}}, \frac{1}{\mathrm{~b}-\mathrm{c}}\) (Q) GP
(III) \(\mathrm{a}-\frac{\mathrm{b}}{2}, \frac{\mathrm{~b}}{2}, \mathrm{c}-\frac{\mathrm{b}}{2}\) (R) AP
(IV) \(\frac{a}{b+c}, \frac{b}{c+a}, \frac{c}{a+b}\)
Which of the Following is Incorrect:
Column - I Column - II
(I) \(\frac{\mathrm{a}}{\mathrm{~b}+\mathrm{c}-\mathrm{a}}, \frac{\mathrm{~b}}{\mathrm{c}+\mathrm{a}-\mathrm{b}}, \frac{\mathrm{c}}{\mathrm{a}+\mathrm{b}-\mathrm{c}}\) (p) HP
(II) \(\frac{1}{\mathrm{~b}-\mathrm{a}}, \frac{1}{\mathrm{~b}}, \frac{1}{\mathrm{~b}-\mathrm{c}}\) (Q) GP
(III) \(\mathrm{a}-\frac{\mathrm{b}}{2}, \frac{\mathrm{~b}}{2}, \mathrm{c}-\frac{\mathrm{b}}{2}\) (R) AP
(IV) \(\frac{a}{b+c}, \frac{b}{c+a}, \frac{c}{a+b}\)
Which of the Following is Incorrect:
- I – P
- II – Q
- III – Q
- IV – P
Answer
(B) II – Q
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