11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil என்னுயிர் என்பேன் -துணைப்பாடம் - இசைத்தமிழர் இருவர் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set A

Published on: 10/11/2020
11th Standard Maths Two Dimensional Analytical Geometry English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021
Download Tamil Nadu 11th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
The image of the point (1, 2) with respect to the line y = x is ______________
(-1, -2)
(2, 1)
(2, -1)
(2, 1)
2.
The lines x cos \(\alpha\) + y sin \(\alpha\) = p and xcos\(\beta\) + y sin\(\beta\) = q will be perpendicular if ______________
\(\alpha =\beta\)
\(\alpha-\beta=\frac{\pi}{2}\)
\(|\alpha-\beta|=\frac{\pi}{2}\)
\(\alpha-\beta=0\)
3.
The equation of a line which makes an angle of 135° with positive direction of x-axis and passes through the point (1, 1) is ______________
x+y=2
x-y=0
\(2\sqrt {2x}-\sqrt {2y}=0\)
x-3y=0
4.
The inclination to the x-axis and intercept on y-axis of the line \(\sqrt {2y}=x+2\sqrt 2\) ______________
\(30^0,\sqrt 2\)
300,2
\(45^0,2\sqrt 2\)
450,2
5.
The distance between the line 12x - 5y + 9 = 0 and the point (2, 1) is ______________
\(\pm\frac{28}{13}\)
\(\frac{28}{13}\)
\(-\frac{28}{13}\)
none of these
6.
The line (p + 2q)x + (p - 3q)y = p - q for different values of p and q passes through the point
\(\left(\frac{3}{5},\frac{5}{2}\right)\)
\(\left(\frac{2}{5},\frac{2}{5}\right)\)
\(\left(\frac{3}{5},\frac{3}{5}\right)\)
\(\left(\frac{2}{5},\frac{3}{5}\right)\)
7.
Equation of the straight line perpendicular to the line x - y + 5 = 0, through the point of intersection the y-axis and the given line
x - y - 5 = 0
x + y - 5 = 0
x + y + 5 = 0
x + y + 10 = 0
8.
The coordinates of the four vertices of a quadrilateral are (-2, 4), (-1, 2), (1, 2) and (2, 4) taken in order. The equation of the line passing through the vertex (-1, 2) and dividing the quadrilateral in the equal areas is
x + 1 = 0
x + y = 1
x + y + 3 = 0
x - y + 3 = 0
9.
The slope of the line which makes an angle 45o with the line 3x- y = -5 are:
1, -1
\(\frac{1}{2},-2\)
\(1,\frac{1}{2}\)
\(2,-\frac{1}{2}\)
10.
Which of the following equation is the locus of (at2, 2at)
\(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)
\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)
x2 + y2 = a2
y2 = 4ax
1.
(d)
(2, 1)
2.
(c)
\(|\alpha-\beta|=\frac{\pi}{2}\)
3.
(a)
x+y=2
4.
(d)
450,2
5.
(b)
\(\frac{28}{13}\)
6.
\((p+2 q) x+(p-3 q) y-p+q=0 \)
\(p(x+y-1)+q(2 x-3 y+1)=0 \)
\(x+y=1 ...(1)\)
\(2 x-3 y=-1..(2)\)
\(\begin{array}{r} 3 \times(1) \Rightarrow 3 x+3 y=3 \\ (2) \Rightarrow 2 x-3 y=-1 \\ \hline 5 x=2 \end{array}\)
\(x=\frac{2}{5}, y=\frac{3}{5} \)
\(\therefore\left(\frac{2}{5}, \frac{3}{5}\right) \)
7.
x - y + 5 = 0;
Put x = 0, then y = 5
The point is (0, 5)
Any line perpendicular to x - y + 5 = 0 is
x + y + k = 0,
This passes through (0, 5)
k = -5
Required equation is x + y - 5 = 0
8.
The point M is (0, 3)
The equation of line joining ('-1, 2) and (0, 3) is
\(\frac{y-2}{3-2} =\frac{x+1}{0+1} \)
\(x-y+3 =0\)
9.
\(\text { Slope of } 3 x-y+5=0 \text { is } \frac{-3}{-1}=3=m_{1}\)
Let m2 be the slope of the second line
\(\text {Given } \tan \theta=\tan 45^{\circ}=1 \Rightarrow \frac{m_{1}-m_{2}}{1+m_{1} m_{2}}=\pm 1\)
\(\frac{3-m_{2}}{1+3 m_{2}}=1 \quad \frac{m_{2}-3}{1+3 m_{2}}=1\)
\(3-m_{2}=1+3 m_{2} \quad m_{2}-3=1+3 m_{2}\)
\(2=4 m_{2} \quad-2 m_{2}=4\)
\(\mathrm{m}_{2}=\frac{1}{2} \quad \mathrm{~m}_{2}=-2\)
\(\left(\frac{1}{2},-2\right)\)
10.
\(\left(a t^{2}, 2 a t\right) \Rightarrow x=a t^{2}, \quad y=2 a t\)
\(y^{2} =4 a^{2} t^{2} \)
\(=4 a^{2}\left(\frac{x}{a}\right) \)
\(y^{2} =4 a x \)
11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - உரைநடை - மலை இடப்பெயர்கள் : ஓர் ஆய்வு Important Questions And Answers Study Material - QB365 Set A
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NEW11th Standard
TN 11th Tamil மாமழை போற்றுதும் - செய்யுள் - ஐங்குறுநூறு Important Questions And Answers Study Material - QB365 Set A
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Maths

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