Properties of Functions and Graphs
Sets, Relation and Function

116853 If \(f(x)=x^2-3 x+4\) and \(f(x)=f(2 x+1)\), then \(\mathbf{x}=\)

1 \(-1, \frac{3}{2}\)
2 \(-1, \frac{2}{3}\)
3 \(1, \frac{2}{3}\)
4 \(1, \frac{3}{2}\)
Sets, Relation and Function

116854 If \(f(x)=a x^2+b x+2\) and \(f(1)=4, f(3)=38\), then \(\mathbf{a}-\mathbf{b}=\)

1 8
2 2
3 -2
4 15
Sets, Relation and Function

116855 If \(\frac{\log x}{a-b}=\frac{\log y}{b-c}=\frac{\log z}{c-a}\), then \(x y z\) is equal to :

1 0
2 1
3 -1
4 2
Sets, Relation and Function

116863 The number of integral solutions of the equation \(\{x+1\}+2 x=4[x+1]-6\), is

1 0
2 1
3 2
4 3
Sets, Relation and Function

116864 The period of the function \(f(x)=\frac{|\sin x|-|\cos x|}{|\sin x+\cos x|}\) is

1 \(\frac{\pi}{2}\)
2 \(2 \pi\)
3 \(\pi\)
4 None of these
Sets, Relation and Function

116853 If \(f(x)=x^2-3 x+4\) and \(f(x)=f(2 x+1)\), then \(\mathbf{x}=\)

1 \(-1, \frac{3}{2}\)
2 \(-1, \frac{2}{3}\)
3 \(1, \frac{2}{3}\)
4 \(1, \frac{3}{2}\)
Sets, Relation and Function

116854 If \(f(x)=a x^2+b x+2\) and \(f(1)=4, f(3)=38\), then \(\mathbf{a}-\mathbf{b}=\)

1 8
2 2
3 -2
4 15
Sets, Relation and Function

116855 If \(\frac{\log x}{a-b}=\frac{\log y}{b-c}=\frac{\log z}{c-a}\), then \(x y z\) is equal to :

1 0
2 1
3 -1
4 2
Sets, Relation and Function

116863 The number of integral solutions of the equation \(\{x+1\}+2 x=4[x+1]-6\), is

1 0
2 1
3 2
4 3
Sets, Relation and Function

116864 The period of the function \(f(x)=\frac{|\sin x|-|\cos x|}{|\sin x+\cos x|}\) is

1 \(\frac{\pi}{2}\)
2 \(2 \pi\)
3 \(\pi\)
4 None of these
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Sets, Relation and Function

116853 If \(f(x)=x^2-3 x+4\) and \(f(x)=f(2 x+1)\), then \(\mathbf{x}=\)

1 \(-1, \frac{3}{2}\)
2 \(-1, \frac{2}{3}\)
3 \(1, \frac{2}{3}\)
4 \(1, \frac{3}{2}\)
Sets, Relation and Function

116854 If \(f(x)=a x^2+b x+2\) and \(f(1)=4, f(3)=38\), then \(\mathbf{a}-\mathbf{b}=\)

1 8
2 2
3 -2
4 15
Sets, Relation and Function

116855 If \(\frac{\log x}{a-b}=\frac{\log y}{b-c}=\frac{\log z}{c-a}\), then \(x y z\) is equal to :

1 0
2 1
3 -1
4 2
Sets, Relation and Function

116863 The number of integral solutions of the equation \(\{x+1\}+2 x=4[x+1]-6\), is

1 0
2 1
3 2
4 3
Sets, Relation and Function

116864 The period of the function \(f(x)=\frac{|\sin x|-|\cos x|}{|\sin x+\cos x|}\) is

1 \(\frac{\pi}{2}\)
2 \(2 \pi\)
3 \(\pi\)
4 None of these
Sets, Relation and Function

116853 If \(f(x)=x^2-3 x+4\) and \(f(x)=f(2 x+1)\), then \(\mathbf{x}=\)

1 \(-1, \frac{3}{2}\)
2 \(-1, \frac{2}{3}\)
3 \(1, \frac{2}{3}\)
4 \(1, \frac{3}{2}\)
Sets, Relation and Function

116854 If \(f(x)=a x^2+b x+2\) and \(f(1)=4, f(3)=38\), then \(\mathbf{a}-\mathbf{b}=\)

1 8
2 2
3 -2
4 15
Sets, Relation and Function

116855 If \(\frac{\log x}{a-b}=\frac{\log y}{b-c}=\frac{\log z}{c-a}\), then \(x y z\) is equal to :

1 0
2 1
3 -1
4 2
Sets, Relation and Function

116863 The number of integral solutions of the equation \(\{x+1\}+2 x=4[x+1]-6\), is

1 0
2 1
3 2
4 3
Sets, Relation and Function

116864 The period of the function \(f(x)=\frac{|\sin x|-|\cos x|}{|\sin x+\cos x|}\) is

1 \(\frac{\pi}{2}\)
2 \(2 \pi\)
3 \(\pi\)
4 None of these
Sets, Relation and Function

116853 If \(f(x)=x^2-3 x+4\) and \(f(x)=f(2 x+1)\), then \(\mathbf{x}=\)

1 \(-1, \frac{3}{2}\)
2 \(-1, \frac{2}{3}\)
3 \(1, \frac{2}{3}\)
4 \(1, \frac{3}{2}\)
Sets, Relation and Function

116854 If \(f(x)=a x^2+b x+2\) and \(f(1)=4, f(3)=38\), then \(\mathbf{a}-\mathbf{b}=\)

1 8
2 2
3 -2
4 15
Sets, Relation and Function

116855 If \(\frac{\log x}{a-b}=\frac{\log y}{b-c}=\frac{\log z}{c-a}\), then \(x y z\) is equal to :

1 0
2 1
3 -1
4 2
Sets, Relation and Function

116863 The number of integral solutions of the equation \(\{x+1\}+2 x=4[x+1]-6\), is

1 0
2 1
3 2
4 3
Sets, Relation and Function

116864 The period of the function \(f(x)=\frac{|\sin x|-|\cos x|}{|\sin x+\cos x|}\) is

1 \(\frac{\pi}{2}\)
2 \(2 \pi\)
3 \(\pi\)
4 None of these