AP EAMCET · Maths · Application of Derivatives
If \(\theta\) is the angle between the curves \(x y=2\) and \(x^2+4 y=0\) and \(x^2+4 y=0\), then \(\tan \theta\) is equal to :
- A 1
- B -1
- C 2
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
The equation of curves are \(x y=2\) \(\ldots\) (i) and \(\quad x^2+4 y=0\) \(\ldots\) (ii) On solving Eqs. (i) and (ii), we get Point of intersection which is \((2,-1)\). From Eq. (i) \(x \frac{d y}{d x}+y=0\) \(\Rightarrow \quad \frac{d y}{d x}=-\frac{y}{x}\)…
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
- AP EAMCET 2019 Medium
- If \(f(x)=\sqrt{3} \sin x-\cos x-2 a x+b\) decreases for all values of \(x\), thenAP EAMCET 2022 Medium
- The line \(3 x+y-5=0\) touches a circle \(S\) at \((1,2)\). If \((\mathrm{h}, \mathrm{k})\) is the centre of the circle \(\mathrm{S}\) such that \(\mathrm{h}^2+\mathrm{hk}+\mathrm{k}^2=\) 37 and the radius of the circle \(\mathrm{S}\) is \(\sqrt{10}\), then \(\mathrm{k}=\)AP EAMCET 2023 Easy
- If each of the coefficients \(a, b, c\) in the equation \(a x^2+b x\) \(+c=0\) is determined by throwing a die, then the probability that the equation will have equal roots, isAP EAMCET 2024 Easy
- A bag contains 4 red and 3 black balls. A second bag contains 2 red and 3 black balls. One bag is selected at random. If from the selected bag, one ball is drawn at random, then the probability that the ball drawn is red, isAP EAMCET 2022 Medium
- \[
\int \sqrt{1+2 \cot x(\cot x+\operatorname{cosec} x)} d x=
\]AP EAMCET 2022 Medium
More PYQs from AP EAMCET
- Water in a river \(20 \mathrm{~m}\) deep is flowing at a speed of \(10 \mathrm{~ms}^{-1}\). The shearing stress between the horizontal layers of water in the river in \(\mathrm{Nm}^{-2}\) is (Coefficient of viscosity of water \(=10^{-3} \mathrm{ \ SI}\) units)AP EAMCET 2004 Hard
- The orthocentre of the triangle formed by the lines \(2 x^2-3 x y+y^2=0, x+y=1\) isAP EAMCET 2017 Medium
- Which one of the following does not undergo disproportionation reaction?AP EAMCET 2017 Easy
- The de-Broglie wavelength of a tennis ball of mass \(60 \mathrm{~g}\) moving with a velocity of \(10 \mathrm{~ms}^{-1}\) is approximately ____ (Planck's constant \(\left.h=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}\right)\)AP EAMCET 2020 Easy
- There are three families \(F_1, F_2, F_3. F_1\) has 2 boys and 1 girl; \(F_2\) has 1 boy and 2 girls; \(F_3\) has 1 boy and 1 girl. A family is randomly chosen and a child is chosen from that family randomly. If it is known that the child thus selected is a girl, then the probability that she is from \(\mathrm{F}_2\) isAP EAMCET 2025 Medium
- Let \(\mathbb{N}\) be the set of all natural numbers and \(f: \mathbb{N} \rightarrow \mathbb{N}\) be such that \(1990 < \mathrm{f}(1990) < 2100\) and satisfies the equation \(x-f(x)=19\left[\frac{x}{19}\right]-90\left[\frac{f(x)}{90}\right] \text {, }\) where \([y]\) denotes the greatest integer less than or equal to \(y\). Then the number of possible values of \(f(1990)\) isAP EAMCET 2017 Hard