Q12 of 40 Page 1

If one root of the equation (k−1)x2 −10x + 3 = 0 is the reciprocal of the other, then the value of k is___________

OR


The graph of y = p(x), where p(x) is a polynomial in variable x, is as follows



The number of zeroes of p(x) is _______________


4


Given equation –


(k – 1)x2 – 10x + 3 = 0


Comparing with ax2 + bx + c =0, we get,


a = (k – 1) , b = -10 , c = 3


Let, be 2 roots of above equation.


……….(1)


But ………..(2) (given)


From equations (1) and (2),




∴ k – 1 = 3


∴ k = 3 + 1


∴ k = 4


OR


The graph of y = p(x) cuts X-axis at 5 different places that is p(x) becomes zero at 5 distinct points on X-axis. Hence, number of zeros of p(x) is 5.


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