# Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

### done AIEEE Solved Paper-2004 Total Questions - 3

• question_answer1) If a circle passes through the point [a, b) and cuts the circle${{x}^{2}}+{{y}^{2}}=4$orthogonally, then the locus of its centre is

A)
$2ax+2by+({{a}^{2}}+{{b}^{2}}+4)=0$

B)
$2\,ax\,+2by-({{a}^{2}}+{{b}^{2}}\,+4)=0$

C)
$2ax-2by+({{a}^{2}}+{{b}^{2}}+4)=0$

D)
$2ax-2by-({{a}^{2}}+{{b}^{2}}+4)=0$

• question_answer2) If the lines$2x+3y+1=0$and$3x-y-4=0$lie along diameters of a circle of circumference$10\pi ,$then the equation of the circle is

A)
${{x}^{2}}+{{y}^{2}}-2x+2y-23=0$

B)
${{x}^{2}}+{{y}^{2}}-2x-2y-23=0$

C)
${{x}^{2}}+{{y}^{2}}+2x+2y-23=0$

D)
${{x}^{2}}+{{y}^{2}}+2x-2y-23=0$

• question_answer3) The intercept on the line$y=x$by the circle${{x}^{2}}+{{y}^{2}}-2x=0$is AB. Equation of the circle on AB as a diameter is

A)
${{x}^{2}}+{{y}^{2}}-x-y=0$

B)
${{x}^{2}}+{{y}^{2}}-x+y=0$

C)
${{x}^{2}}+{{y}^{2}}+x+y=0$

D)
${{x}^{2}}+{{y}^{2}}+x-y=0$