WBJEE · Maths · Pair of Lines
Without changing the direction of the axes, the origin is transferred to the point (2,3) . Then the equation \(x^{2}+y^{2}-4 x-6 y+9=0\) changes to
- A \(x^{2}+y^{2}+4=0\)
- B \(x^{2}+y^{2}=4\)
- C \(x^{2}+y^{2}-8 x-12 y+48=0\)
- D \(x^{2}+y^{2}=9\)
Answer & Solution
Correct Answer
(B) \(x^{2}+y^{2}=4\)
Step-by-step Solution
Detailed explanation
Put \(x=x^{\prime}+2\) and \(\quad y=y^{\prime}+3\) \(\therefore \quad x^{2}+y^{2}-4 x-6 y+9=0\)…
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
- The numbers \(1,2,3, \ldots . . \mathrm{n}\) are arrange in a random order. The probability that the digits \(1,2,3, \ldots ., k(kWBJEE 2024 MediumIf \(X\) is a random variable such that \(\sigma(X)=2.6\) then \(\sigma(1-4 x)\) is equal toWBJEE 2019 EasyLet \(R\) be the set of real numbers and the functions \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be defined by \(f(x)=x^{2}+2 x-3\) and \(g(x)=x+1 .\) Then, the value of \(x\) for which \(f(g(x))=g(f(x))\) isWBJEE 2012 EasyIf \(a, b, c\) are real, then both the roots of the equation \((x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0\) are alwaysWBJEE 2009 Hard\(y=\int \cos \left\{2 \tan ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x\) is an equation of a family ofWBJEE 2019 Medium
Explore more questions on appThe value of \(\left(\frac{1}{\log _3 12}+\frac{1}{\log _4 12}\right)\) isWBJEE 2009 EasyFrom WBJEE More PYQs from WBJEE
- If \(\int 2^{2^{x}} \cdot 2^{x} d x=A \cdot 2^{2^{x}}+C,\) then \(A\) is equal toWBJEE 2019 Medium
- Let \(\tan \alpha=\frac{a}{a+1}\) and \(\tan \beta=\frac{1}{2 a+1}\) then \(\alpha+\beta\) isWBJEE 2011 Medium
- If one end of a diameter of the circle \(3 x^{2}+3 y^{2}-9 x+6 y+5=0\) is \((1,2),\) then the other end isWBJEE 2013 Medium
- The fundamental frequency of a closed pipe is equal to the frequency of the second harmonic of an open pipe. The ratio of their lengths isWBJEE 2013 Easy
- Same quantity of ice is filled in each of the two metal containers \(P\) and \(Q\) having the same size, shape and wall thickness but made of different materials. The containers are kept in identical surroundings. The ice in \(P\) melts completely in time \(t_{1}\) whereas in \(Q\) takes a time \(t_{2}\). The ratio of thermal conductivities of the materials of \(P\) and \(Q\) isWBJEE 2014 Medium
- If \(\alpha, \beta\) are the roots of the quadratic equation \(x^{2}+p x+q=0,\) then the values of \(\alpha^{3}+\beta^{3}\) and \(\alpha^{4}+\alpha^{3} \beta^{2}+\beta^{4}\) are respectivelyWBJEE 2014 Medium