Chapter 27 Hyperbola Exercise Ex. 27.1

Question 1

Solution 1

Question 2(i)

Solution 2(i)

Question 2(ii)

Solution 2(ii)

Question 2(iii)

Solution 2(iii)

Question 2(iv)

Solution 2(iv)

Question 2(v)

Solution 2(v)

Question 2(vi)

Solution 2(vi)

Question 3(i)

Solution 3(i)

Question 3(ii)

Solution 3(ii)

Question 3(iii)

Solution 3(iii)

Question 3(iv)

Solution 3(iv)

Question 3(v)

Solution 3(v)

Question 4

Solution 4

Question 5(i)

Solution 5(i)

Question 5(ii)

Solution 5(ii)

Question 5(iii)

Solution 5(iii)

Question 6(i)

Solution 6(i)

Question 6(ii)

Solution 6(ii)

Question 6(iii)

Solution 6(iii)

Question 7(i)

Solution 7(i)

Question 7(ii)

Solution 7(ii)

Question 7(iii)

Solution 7(iii)

Question 7(iv)

Solution 7(iv)

Question 8

Solution 8

Question 9(i)

Solution 9(i)

Question 9(ii)

Solution 9(ii)

Question 11(i)

Solution 11(i)

Question 11(ii)

Solution 11(ii)

Question 11(iii)

Solution 11(iii)

Question 11(iv)

Solution 11(iv)

Question 11(v)

Solution 11(v)

Question 11(vi)

Solution 11(vi)

Question 11(vii)

Solution 11(vii)

Question 11(viii)

Solution 11(viii)

Question 11(ix)

Solution 11(ix)

Question 7(v)

Find the equation of the hyperbola whose vertices are at (± 6, 0) and one of the directrices is x = 4.Solution 7(v)

Question 7(vi)

Find the equation of the hyperbola whose

foci at (± 2, 0) and eccentricity is 3/2Solution 7(vi)

Question 10

Solution 10

Question 11(x)

Solution 11(x)

Question 12

Solution 12

Question 13

Show that the set of all points such that the difference of their distance from (4, 0) and (-4, 0) is always equal to 2 represents a hyperbola.Solution 13


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