1
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The differential equation of the family of all circles of radius ' $a$ ' is

A

$y_1 y_2+\left(1+y_1^2\right)=a$

B

$\left(1+y_1^2\right)^3=a^2 y_2^2$

C

$1+y_1^2=y_2^2+a^2$

D

$y_2^2+1=y_1^2+a^2$

2
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the general solution of $\left(1+y^2\right) d x=\left(\tan ^{-1} y-x\right) d y$ is $x=f(y)+c e^{-\tan ^{-1} y}$, then $f(y)=$

A

$\tan ^{-1} y$

B

$\tan ^{-1} y+1$

C

$\tan ^{-1} y-1$

D

$y \tan ^{-1} y$

3
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The force of mutual attraction between any two objects by virtue of their masses is

A

gravitational force

B

electromagnetic force

C

strong nuclear force

D

weak nuclear force

4
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The error in the measurement of force acting normally on a square plate is $3 \%$. If the error in the measurement of the side of the plate is $1 \%$, then the error in the determination of the pressure acting on the plate is

A

$4 \%$

B

$3 \%$

C

$5 \%$

D

$6 \%$

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