11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A
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TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
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Published on: 27/08/2019
Two Dimensional Analytical Geometry
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 equation of the straight line which passes through the point (2, 4) and have intercept on the axes equal in magnitude but opposite in sign is ______________
x - y = 2
x - y + 2 = 0
x - y + 1 = 0
x - y - 1 = 0
2.
The equation of median from verten B of the triangle \(\triangle ABC\) the co-ordinates of whose vertices are A(-1, 6)B(-3, -9)C(5, -8) ___________
29x + 4y + 5 = 0
8x - 5y - 21 = 0
13x + 14y + 47 = 0
x + y -7 = 0
3.
The equation of the straight line bisecting the line segment joining the points (2, 4) and (4, 2) and making an angle of 45o with positive direction of x-axis is ______________
x + y = 6
x - y = 0
x - y = 6
x + y = 0
4.
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
5.
The equation of the bisectors of the angle between the co-ordinate axes are ______________
x+y=0
x-y=0
x\(\pm\)y=0
x=0
6.
The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3, 4) with coordinate axes are
5, -5
5, 5
5, 3
5, -4
7.
Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is
x + y + 2 = 0
x + y - 2 = 0
\(x+y-\sqrt{2}=0\)
\(x+y+\sqrt{2}=0\)
8.
The slope of the line which makes an angle 45o with the line 3x- y = -5 are:
1, -1
\(\frac{1}{2},-2\)
\(1,\frac{1}{2}\)
\(2,-\frac{1}{2}\)
9.
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
10.
The equation of the locus of the point whose distance from y-axis is half the distance from origin is
x2 + 3y2 = 0
x2- 3y2 = 0
3x2+ y2 = 0
3x2- y2 = 0
1.
(b)
x - y + 2 = 0
2.
(b)
8x - 5y - 21 = 0
3.
(b)
x - y = 0
4.
(a)
x+y=2
5.
(c)
x\(\pm\)y=0
6.
Equation of line joining (1, 2) and (3, 4) is
\(\frac{y-2}{4-2} =\frac{x-1}{3-1} \)
\(x-y+1 =0 \)
Any line perpendicular to this x + y + k = 0
This passes through midpoint of (1, 2) and (3, 4)
That is (2, 3)
k = -5, x+y-5 = 0
x intercept is 5, y intercept is 5.
7.
\(\text {Perimeter }=4+2 \sqrt{2}\)
\(a+a+\sqrt{2} =4+2 \sqrt{2} \)
\(2 a+\sqrt{2} a =4+2 \sqrt{2} \)
\(\therefore a =2 \)
\(\text {Equation of line is } \frac{x}{2}+\frac{y}{2}=1\)
\(x+y-2=0\)
8.
\(\text { Slope of } 3 x-y+5=0 \text { is } \frac{-3}{-1}=3=m_{1}\)
Let m2 be the slope of the second line
\(\text {Given } \tan \theta=\tan 45^{\circ}=1 \Rightarrow \frac{m_{1}-m_{2}}{1+m_{1} m_{2}}=\pm 1\)
\(\frac{3-m_{2}}{1+3 m_{2}}=1 \quad \frac{m_{2}-3}{1+3 m_{2}}=1\)
\(3-m_{2}=1+3 m_{2} \quad m_{2}-3=1+3 m_{2}\)
\(2=4 m_{2} \quad-2 m_{2}=4\)
\(\mathrm{m}_{2}=\frac{1}{2} \quad \mathrm{~m}_{2}=-2\)
\(\left(\frac{1}{2},-2\right)\)
9.
\(\left(a t^{2}, 2 a t\right) \Rightarrow x=a t^{2}, \quad y=2 a t\)
\(y^{2} =4 a^{2} t^{2} \)
\(=4 a^{2}\left(\frac{x}{a}\right) \)
\(y^{2} =4 a x \)
10.
Let the point be (x, y)
Its distance from origin is \(\sqrt{x^{2}+y^{2}}\)
Given \(x =\frac{1}{2} \sqrt{x^{2}+y^{2}} \)
\(\Rightarrow 2 x =\sqrt{x^{2}+y^{2}} \)
\(4 x^{2} =x^{2}+y^{2} \)
\(3 x^{2}-y^{2}=0 \) is the required equation of the locus
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
NEW11th Standard
TN 11th Tamil மாமழை போற்றுதும் - துணைப்பாடம் - யானை டாக்டர் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மாமழை போற்றுதும் - செய்யுள் - ஐங்குறுநூறு Important Questions And Answers Study Material - QB365 Set A
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