(One or more than one correct option)
A solution curve of the differential equation \( \left(x^{... VIDEO
(One or more than one correct option)
A solution curve of the differential equation \( \left(x^{2}+x y+4 x+2 y+4\right) \frac{d y}{d x}-y^{2}=0, \quad x0, \quad \) passes
P through the point \( (1,3) \). Then, the solution curve
W
(a) intersects \( y=x+2 \) exactly at one point
(2016 Adv.)
(b) intersects \( y=x+2 \) exactly at two points
(c) intersects \( y=(x+2)^{2} \)
(d) does not intersect \( y=(x+3)^{2} \)
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-20 Four points \( A(6,3), B(-3,5), C(4,-2) \) and \( D(\mathrm{x}, 3 \mathrm{x}) \) are given such ... 2023-02-20 The vertices of a \( \triangle A B C \) are \( A(7,8), B(4,2) \) and \( C(8,2) \). The mid-point... 2023-02-20 Which one of the following statements is not a tautology?
(2019 Main, 8 AprillI)
(a) \( (p \wedg... 2023-02-20 The tangent \( P T \) and the normal \( P N \) to the parabola \( y^{2}=4 a x \) at a point \( P... 2023-02-20 If two opposite vertices of a square are
W \( (5,4) \) and \( (1,-6) \), then find the coordinat... 2023-02-20 The coordinates of one end point of a diameter of a circle are \( (4,-1) \) and coordinates of t... 2023-02-20 In the given figure, in \( \triangle A B C, D \) and \( E \) are
W the mid-points of the sides \... 2023-02-20 The points \( A(0,3), B(-2, a) \) and \( C(-1,4) \) are the vertices of \( \triangle A B C \), r... 2023-02-20 Analytical \& Descriptive Questions
\( \mathrm{P} \)
Let \( A B C \) be a triangle having \( O \... 2023-02-20 Let \( A B C \) be an equilateral triangle inscribed in the cirele \( x^{2}+y^{2}=a^{2} \). Supp... 2023-02-20 (One or more than one correct option)
A solution curve of the differential equation \( \left(x^{... 2023-02-20 Prove that the points \( (3,0),(6,4) \) and \( (-1,3) \) are the vertices of a right angled isos... 2023-02-20 The circle \( x^{2}+y^{2}-8 x=0 \) and hyperbola \( \frac{x^{2}}{9}-\frac{y^{2}}{4}=1 \) interse... 2023-02-20 (One or more than one correct option)
Consider the hyperbola \( H: x^{2}-y^{2}=1 \) and a circle... 2023-02-20 If \( \overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}} \) and \( \overrightarrow{\mathbf... 2023-02-20 Prove that the points \( (0,0),(5,5) \) and \( (-5,5) \) are the vertices of a right angled isos... 2023-02-20 (One or more than one correct option)
Let \( P \) be the point on the parabola \( y^{2}=4 x \), ... 2023-02-20 If the centre of a circle is \( (2 a, a-7) \), then find the values of \( a \), if the circle pa... 2023-02-20 True and False (IV Points \( (3,2),(-2,-3) \) and \( (2,3) \) form a right triangle. 2023-02-20 If the points \( A(1,-2), B(2,3), C(-3,2) \) and \( D(-4,-3) \)
(W) are the vertices of a parall... 2023-02-20 Find the area of a parallelogram \( A B C D \), if three of its
(W) vertices are \( A(2,4), B(2+...