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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Question Question 16 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Question Question 16 Maths Textbook Solution.

Answers (1)

Answer:

            \left ( b \right )b=-1,c=1

Hint:

        Use y=mx+c

Given:

            y=x Touches the curve y=x^{2}+bx+cat the point (1,1)

Solution:

y=x

Clearly ,m=1

y=x^{2}+bx+c                    (1)

Differentiate w.r.t, x_{1}we get

\frac{dy}{dx}=2x+b

Putting the point \left ( 1,1 \right )and m=1 in above curve

1=2\left ( 1 \right )+b

b=-1

Putting the point\left ( 1,1 \right ) in (1)

\begin{aligned} &1=(1)^{2}+b(1)+c \\ &1=1-1+c \quad \text { [Since } b=-1] \\ &c=1 \\ &\therefore b=-1, c=1 \end{aligned}

 

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