AP EAMCET · Maths · Functions
The curves \(y=4 x^2+2 x-8\) and \(y=x^3-x+13\) touch each other at the point
- A \((34,3)\)
- B \((3,37)\)
- C \((-3,34)\)
- D \((-34,3)\)
Answer & Solution
Correct Answer
(B) \((3,37)\)
Step-by-step Solution
Detailed explanation
\(y=4 x^2+2 x-8\) differentiate w.r.t. ' \(x\) ' on both sides, \(\begin{aligned} \frac{d y}{d x} & =4(2 x)+2(1) \\ \frac{d y}{d x} & =8 x+2 \quad \ldots (i) \\ y & =x^3-x+13 \end{aligned}\) differentiate w.r.t. ' \(x\) ' on both sides,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(f(x)\) is an \(n^{\text {th }}\) degree polynomial satisfying \(f(x)=\frac{1}{2}\left|\begin{array}{cc}f(x) & f\left(\frac{1}{x}\right)-f(x) \\ 1 & f\left(\frac{1}{x}\right)\end{array}\right|\). If \(f(2)=33\), then the value of \(f(3)\) isAP EAMCET 2025 Hard
- Which of the following is differentiable at \(x=0 ?\)AP EAMCET 2022 Easy
- The equation of the circle having the common chord of the circles \(x^2+y^2-8 x=0\) and \(x^2+y^2-9=0\) as its diameter isAP EAMCET 2019 Easy
- The number of 5 digit odd numbers greater than 40,000 that can be formed by using \(3,4,5,6,7,0\) so that at least one of its digit must be repeated isAP EAMCET 2024 Hard
- Locus of the centroid of a triangle whose vertices are \((1,0) .(a \cos t, a \sin t)\), \((b \sin t,-b \cos t)\) is \(9 x^2+9 y^2-6 x=k\). Then, the value of \(k\) is equal toAP EAMCET 2020 Easy
- Find the angle between the diagonals of parallelogram \(P Q R S\), if \(\mathbf{P Q}=3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{P S}=\hat{\mathbf{i}}-2 \hat{\mathbf{k}}\)AP EAMCET 2020 Medium
More PYQs from AP EAMCET
- Which one of the following is true for an exothermic reaction \(A \rightleftharpoons B\), if \(E_f\) and \(E_b\) are the activation energies of forward and backward reactions respectively?AP EAMCET 2011 Easy
- The length of the tangent drawn to the circle \(x^2+y^2-2 x+4 y-11=0\) from the point \((1,3)\) is :AP EAMCET 2006 Easy
- If the half-life of a radioactive element is 12.5 hours, then the time taken to disintegrate 256 g of the substance into 1 g is (in hours)AP EAMCET 2025 Medium
- If \(\frac{1}{2} \operatorname{Sin}^{-1}\left(\frac{3 \sin 2 \theta}{5+4 \cos 2 \theta}\right)=\operatorname{Tan}^{-1} x\) then \(x=\)AP EAMCET 2025 Medium
- \(A B\) is a line segment moving between the axes such that ' \(A\) ' lies on \(X\)-axis and ' \(B\) ' lies on \(Y\)-axis. If \(P\) is a point on \(A B\) such that \(P A=b\) and \(P B=a\), then the equation of locus of \(P\) isAP EAMCET 2020 Medium
- The drug, which was designed to prevent the interaction of histamine with the receptors present in the stomach wall isAP EAMCET 2017 Easy