KCET · Maths · Straight Lines
A line cuts off equal intercepts on the co-ordinate axes. The angle made by this line with the
positive direction of \( X \)-axis is
- A \( 90^{\circ} \)
- B \( 135^{\circ} \)
- C \( 45^{\circ} \)
- D \( 120^{\circ} \)
Answer & Solution
Correct Answer
(B) \( 135^{\circ} \)
Step-by-step Solution
Detailed explanation
(B)
\[
\begin{array}{l}
x+y=a \\
\frac{d y}{d x}=-1 \\
\tan \theta=-1 \\
\theta=\pi-\frac{\pi}{4}=\frac{3 \pi}{4} \Rightarrow \theta=135^{\circ}
\end{array}
\]
\[
\begin{array}{l}
x+y=a \\
\frac{d y}{d x}=-1 \\
\tan \theta=-1 \\
\theta=\pi-\frac{\pi}{4}=\frac{3 \pi}{4} \Rightarrow \theta=135^{\circ}
\end{array}
\]
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
- Let \(A=\{x, y, z, u\}\) and \(B=\{a, b\}\). A function \(f: A \rightarrow B\) is selected randomly. The probability that the function is an onto function isKCET 2023 Easy
- If \(\left(\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right) A=\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right)\), then the matrix \(a\) isKCET 2020 Medium
- The least positive integer \(\mathrm{x}\) satisfying \(2^{2010} \equiv 3 x(\bmod 5)\) isKCET 2010 Medium
- If \(f(x)=\frac{g(x)+g(-x)}{2}+\frac{2}{[h(x)+h(-x)]^{-1}}\) where \(g\) and \(h\) are differentiable function, then \(\mathrm{f}^{\prime}(0)\)KCET 2009 Medium
- \(3(\sin x-\cos x)^{4}+6(\sin x+\cos x)^{2}\)
\(+4\left(\sin ^{6} x+\cos ^{6} x\right)\)
is equal toKCET 2009 Medium - \(\int \frac{\cos 2 x-\cos 2 \alpha}{\cos x-\cos \alpha} d x\) is equal toKCET 2022 Medium
More PYQs from KCET
- If \(\frac{3 x+1}{(x-1)(x+3)}=\frac{A}{x-1}+\frac{B}{x+3}\), then \(\sin ^{-1} \frac{A}{B}\) is equal toKCET 2012 Easy
- Two simple harmonic motions are represented by
\(\begin{aligned} \mathrm{y}_{1} &=5[\sin 2 \pi \mathrm{t}+\sqrt{3} \cos 2 \pi \mathrm{t}] \\ \text {and}~ \mathrm{y}_{2} &=5 \sin \left(2 \pi \mathrm{t}+\frac{\pi}{4}\right) \end{aligned}\)
The ratio of their amplitudes isKCET 2010 Easy - If \(3 x+i(4 x-y)=6-i\) where \(x\) and \(y\) are real numbers, then the values of \(x\) and \(y\) are respectively,KCET 2022 Easy
- A carbon film resistor has colour code Green Black Violet Gold. The value of the resistor isKCET 2014 Easy
- If the area between \(y=m x^{2}\) and \(x=m y^{2}(m>0)\) is \(1 / 4 \mathrm{sq}\) units, then the value of \(m\) isKCET 2011 Hard
- Wavefront is the locus of all points, where the particles of the medium vibrate with the sameKCET 2011 Easy