MHT CET · Maths · Circle
The intercept on the line y = x by the circle is . The equation of the circle with as a diameter is ……
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
We have equation of line y = x and equation of circle
Now, intersecting points of given line and circle
When x = 0 then y =0 when x =1 then y = 1
Coordinates of end points of diameter AB are (0, 0) and (1, 1)
Required equation of circle with diameter AB
Now, intersecting points of given line and circle
When x = 0 then y =0 when x =1 then y = 1
Coordinates of end points of diameter AB are (0, 0) and (1, 1)
Required equation of circle with diameter AB
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 approximate value of the function \(\mathrm{f}(x)=x^{3}+5 x^{2}-7 x+10\) at \(x=1 \cdot 1\) isMHT CET 2020 Easy
- If \(y=\sec \left(\tan ^{-1} x\right)\), then \(\frac{d y}{d x}\) at \(x=1\) isMHT CET 2020 Medium
- Let \(f: R \rightarrow R\) be a function such that \(\mathrm{f}(x)=x^3+x^2 \mathrm{f}^{\prime}(1)+x \mathrm{f}^{\prime \prime}(2)+6, x \in \mathrm{R}\), then \(\mathrm{f}(2)\) equalsMHT CET 2023 Medium
- If the radius of a circle \(x^{2}+y^{2}-4 x+6 y-k=0\) is 5, then \(\mathrm{k}=\)MHT CET 2020 Easy
- Let
\(\mathrm{f}(\mathrm{x}) \begin{cases}=\mathrm{x}+\mathrm{a} \sqrt{2} \sin \mathrm{x}, & 0 \leq \mathrm{x} < \frac{\pi}{4} \ =2 \mathrm{x} \cot \mathrm{x}+\mathrm{b}, \end{cases}\) \(\frac{\pi}{4} \leq \mathrm{x} < \frac{\pi}{2} \) \(=\mathrm{a} \cos 2 \mathrm{x}-\mathrm{b} \sin \mathrm{x}, \frac{\pi}{2} \leq \mathrm{x} \leq \pi\) If \(\mathrm{f}(\mathrm{x})\) is continuous for \(0 \leq \mathrm{x} \leq \pi\), thenMHT CET 2021 Hard - If \(y=y(x)\) is the solution of the differential equation \(x \frac{\mathrm{dy}}{\mathrm{d} x}+2 y=x^2\) satisfying \(y(1)=1\), then the value of \(y\left(\frac{1}{2}\right)\) isMHT CET 2024 Medium
More PYQs from MHT CET
- Given \(\overrightarrow{\mathbf{p}}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, \overrightarrow{\mathbf{a}}=\hat{\mathbf{i}}+\hat{\mathbf{j}} \cdot \overrightarrow{\mathbf{b}}=\hat{\mathbf{j}}+\hat{\mathbf{k}}\)
\(\overrightarrow{\mathbf{c}}=\hat{\mathbf{i}}+\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{p}}=x \overrightarrow{\mathbf{a}}+y \overrightarrow{\mathbf{b}}+z \overrightarrow{\mathbf{c}}\), then \(x, y, z\)
are respectivelyMHT CET 2009 Easy - The equation of the circle whose end points of a diameter are the centres of the
circles \(x^{2}+y^{2}+2 x-4 y+1=0\) and \(x^{2}+y^{2}-8 x+6 y+17=0\) isMHT CET 2020 Medium - Which part of plant shows determinate growth?MHT CET 2020 Hard
- Match parts of chromosome given in Column I with their explanation in Column II:
Column I
(Chromosome)Column II
Column II (Explanation)Q.1. Centromere a. Disc shaped plate where spindle fibres get attached during cell division. Q.2. Secondary constriction b. Long unbranched slender highly coiled DNA. Q.3. Kinetochore c. Place where 2-chromatids are joined together. Q.4. Chromatonema d. Nucleolus gets organised at this place.
Choose the correct answer from the following options.MHT CET 2025 Medium - Identify basic amino acid from following.MHT CET 2024 Easy
- \(\int_{0.2}^{3.5}[x] \mathrm{d} x=\)
(where \([x]=\) greatest integer not greater than \(x\) )MHT CET 2024 Easy