AP EAMCET · Maths · Circle

The points where the circle $x^{2} + y^{2} - 3 x - 4 y + 2 = 0$ cuts the $x$ -axis are

A $(1, 2) & (2, 0)$
B $(2, 0) & (3, 0)$
C $(0, 2) & (0, 1)$
D $(1, 0) & (2, 0)$

Verified Solution

Answer & Solution

Correct Answer

(D) $(1, 0) & (2, 0)$

Step-by-step Solution

Detailed explanation

Given that: x2+y2-3x-4y+2=0 Circle cuts x-axis, So put y=0 x2-3x+2=0 ⇒x-1x-2=0 ⇒x=1,2 Points are 1,0 & 2,0.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From AP EAMCET

When a body is in

S H M

, then match the following.

$List - I$		$List - II$
$(A)$	Velocity is maximum	$(I)$	Acceleration is maximum
$(B)$	$KE$ is ${(\frac{3}{4})}^{th}$ of total energy	$(II)$	At mean position
$(C)$	$PE$ is ${(\frac{3}{4})}^{th}$ of total energy	$(III)$	At half of the amplitude
$(D)$	Acceleration is maximum	$(IV)$	At $\frac{\sqrt{3}}{2}$ times the amplitude

AP EAMCET 2019 Easy

Magnesium is burnt in the air to form $A$ and $B$ . When $B$ is hydrolyzed, $C$ and $D$ are formed. $D$ is the reactant in the manufacture of nitric acid by Ostwald's process. What is $C$ ?

AP EAMCET 2019 Easy

Explore more questions on app

The points where the circle x2+y2-3x-4y+2=0 cuts the x-axis are

Step-by-step Solution

The points where the circle $x^{2} + y^{2} - 3 x - 4 y + 2 = 0$ cuts the $x$ -axis are