KCET · Maths · Definite Integration
The solution set of the inequation \( \frac{x^{2}+6 x-7}{|x+4|} < 0 \) is
- A \( (-7,1) \)
- B \( (-7,-4) \)
- C \((-7,-4) \cup(-4,1) \)
- D \((-7,-4) \cup(4,1) \)
Answer & Solution
Correct Answer
(C) \((-7,-4) \cup(-4,1) \)
Step-by-step Solution
Detailed explanation
Given that \(\frac{x^{2}+6 x-7}{|x+4|} < 0\)
So, \(x \neq 4\)
Then, \(x^{2}+6 x-7 < 0\)
\(\Rightarrow(x+7)(x-1) < 0\)
\(-7 < x < 1\)
Therefore, solutions is \((-7,-4) \cup(-4,1)\)
So, \(x \neq 4\)
Then, \(x^{2}+6 x-7 < 0\)
\(\Rightarrow(x+7)(x-1) < 0\)
\(-7 < x < 1\)
Therefore, solutions is \((-7,-4) \cup(-4,1)\)
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
- A pandemic has been spreading all over the world. The probabilities are 0.7 that there will be a lockdown, 0.8 that the pandemic is controlled in one month if there is a lockdown and 0.3 that it is controlled in one month if there is no lockdown. The probability that the pandemic will be controlled in one month isKCET 2022 Hard
- If \( |\bar{a}| \) and \( |\bar{b}| \) are mutually perpendicular unit vectors, then
\( (3|\bar{a}|+2|\bar{b}|) \cdot(5|\bar{a}|-6|\bar{b}|)= \)KCET 2018 Medium - \(\int\limits_{a-6}^{b-6} f(x + 6)\,dx\) is equal toKCET 2026 Easy
- The corner points of the feasible region of an LPP are \((0,2),(3,0),(6,0),(6,8)\) and \((0,5)\), then the minimum value of \(z=4 x+6 y\) occurs atKCET 2022 Medium
- If \(A\) and \(B\) are two non-mutually exclusive events such that \(P(A \mid B)=P(B \mid A)\), thenKCET 2025 Easy
- If \(P(A)=0.59, P(B)=0.30\) and \(P(A \cap B)=0.21\) then \(P\left(A^{\prime} \cap B^{\prime}\right)\) is equal toKCET 2021 Easy
More PYQs from KCET
- Read the following statements carefully and choose the correct statements.
(A) In a transcription unit, the promoter is located at the 5' end of coding strand.
(B) The single strand DNA having the polarity 5'→ 3' is the template strand.
(C) RNA polymerase binds to the operator during transcription.
(D) Single base DNA differences occur in humans are called Single Nucleotide Polymorphism (SNPs).KCET 2016 Hard - Three concurrent co-planar forces \(1 \mathrm{~N}, 2 \mathrm{~N}\) and \(3 \mathrm{~N}\) acting along different directions on a bodyKCET 2009 Easy
- If \(\cos \alpha+2 \cos \beta+3 \cos \gamma=0\),
\(\sin \alpha+2 \sin \beta+3 \sin \gamma=0\) and \(\alpha+\beta+\gamma=\pi\), then \(\sin 3 \alpha+8 \sin 3 \beta+27 \sin 3 \gamma\) is equal toKCET 2012 Medium - PCC isKCET 2024 Medium
- A body of mass 1 kg is suspended by a weightless string which passes over a frictionless pulley of mass 2 kg as shown in the figure. The mass is released from a height of 1.6 m from the ground. With what velocity does it strike the ground?
KCET 2024 Hard - The given diagram represents
KCET 2022 Hard