AP EAMCET · Maths · Functions
If \(f: \mathbf{R} \rightarrow \mathbf{R}\) is defined as \(f(x)=x^2-2 x-3\) then \(f\) is
- A one-one but not onto
- B onto but not one-one
- C neither one-one nor onto
- D a bijection
Answer & Solution
Correct Answer
(C) neither one-one nor onto
Step-by-step Solution
Detailed explanation
\(f(x)=x^2-2 x-3\) for one one Let \(\mathrm{f}\left(\mathrm{x}_1\right)=\mathrm{f}\left(\mathrm{x}_2\right)\)…
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 area (in sq. units) of the triangle formed by the straight line \(x+y=3\) and the angular bisectors of the pair of straight lines \(x^2-y^2+2 y=1\), isAP EAMCET 2018 Medium
- If the transformed equation of the equation \(2 x^2+3 x y-2 y^2-17 x+6 y+8=0\) after translating the coordinate axes to a new origin \((\alpha, \beta)\) is \(a X^2+2 h X Y+b Y^2+c=0\), then \(3 \alpha+c=\)AP EAMCET 2025 Hard
- The least value of so thatAP EAMCET 2022 Medium
- \(\sum_{k=1}^6 \sin \left(\frac{2 \pi k}{7}\right)-i \cos \left(\frac{2 \pi k}{7}\right)=\)AP EAMCET 2022 Hard
- If \(f: R \rightarrow R\) and \(g: R \rightarrow R\) are defined by \(f(x)=|x|\) and \(g(x)=[x-3]\) for \(x \in R\), then \(\left\{g(f(x)):-\frac{8}{5} < x < \frac{8}{5}\right\}\) is equal toAP EAMCET 2008 Medium
- If \(A\) and \(B\) are two matrices given by \(A=\left(\begin{array}{lll}1 & 2 & 3 \\ 2 & 3 & 4 \\ 5 & 6 & 8\end{array}\right)\) and \(B=\left(\begin{array}{lll}3 & 2 & 5 \\ 2 & 3 & 8 \\ 7 & 2 & 9\end{array}\right)\) then, the value of \(|\operatorname{Adj}(A B)|\) isAP EAMCET 2017 Hard
More PYQs from AP EAMCET
- Consider the following statements.
I. In \(\triangle A B C\), if \(c=6\) and \(\cos C=\frac{-11}{25}\), then
\[
R=\frac{25}{2 \sqrt{14}}
\]
II. In \(\triangle A B C\), if \(a=3, b=4, c=6\), then \(A B C\) is acute angled triangle.
Which of the above statements is/are true?AP EAMCET 2018 Medium - The \(n^{\text {th }}\) term of the series \(1+(3+5+7)+(9+11+13+\) \(15+17)+\ldots\)AP EAMCET 2024 Hard
- If \(A(2,4,-1), B(3,6,-1)\) and \(C(4,5,1)\) are three consecutive vertices of a parallelogram, then its fourth vertex isAP EAMCET 2019 Easy
- Identify the correct set of monosaccharides present in sucrose \((X)\), lactose \((Y)\) and maltose \((Z)\).AP EAMCET 2019 Medium
- A \(500 \mathrm{~g}\) ball is attached to one end of an aluminum wire of area of cross-section \(0.5 \mathrm{~mm}^2\) and an unstretched length of \(1.4 \mathrm{~m}\). The other end of the wire is fixed to the top of a vertical pole. The ball rotates about the pole in a horizontal plane such that the angle between the wire and the horizontal is \(30^{\circ}\). The increase in the length of the wire is ____ \(\mathrm{mm}\). (Young's modulus of aluminum \(=0.7 \times 10^{11} \mathrm{Nm}^{-2}\) and acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\))AP EAMCET 2017 Medium
- The differential equation of the family of parabola with focus as the origin and the axis as \(X\)-axis, is :AP EAMCET 2003 Medium