y = k represents ……………
A) parallel to X – axis
B) parallel to Y – axis
C) parallel to X, Y axes
D) (0, 0)
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The line x = -3 is A) parallel to X – axis B) parallel to Y – axis C) passes through origin D) passes through (0, -3)
Correct option is B) parallel to Y – axis
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x = 0 represents ………………… A) X – axis B) Y – axis C) (0, 0) D) y = mx + C
Correct option is (B) Y-axis Equation x = 0 represents Y-axis.
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x = 0 represents ………………… A) X – axis B) Y – axis C) (0, 0) D) y = mx + C
2 Answers
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y = 0 represents …………………. A) X – axis B) Y – axis C) (0, 0) D) y = mx + C
Correct option is (A) X-axis Equation y = 0 represents X-axis.
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x = k represents ………………. A) parallel to X – axis B) parallel to Y – axis C) parallel to X, Y axes D) (0, 0)
Correct option is (B) parallel to Y–axis Equation of Y-axis is x = 0. \(\therefore\) Equation x = 0 represents Y-axis. \(\therefore\) Equation x = k represents line parallel to Y-axis.
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y = k represents …………… A) parallel to X – axis B) parallel to Y – axis C) parallel to X, Y axes D) (0, 0)
Correct option is (A) parallel to X–axis \(\because\) Equation y = 0 represents X-axis. \(\therefore\) Equation y = k represents line parallel to X-axis.
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Find the equation of line passing through point (2,3) which is (i) parallel of the x-axis (ii) parallel to the y-axis
Equation of the line passing though (2,3) which is (i) parallel to x-axis is y = 3 and (ii) parallel to y-axis is x = 2.
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The equation of curve referred to the new axes, axes retaining their directions, and origin `(4,5)` is `X^2+Y^2=36` . Find the equation referred to th
With the given notation, we have `x=X+4,y=Y+5` or `X=x-4,Y=y-5` Therefore, the required equation is `(x-4)^2+(y-5)^2=36` or `x^2+y^2-8x-10y+5=0` which is the eqaution referred to the original axes.
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The equation of a curve referred to a given system of axes is `3x^2+2x y+3y^2=10.` Find its equation if the axes are rotated through an angle `45^0` ,
We have `x=Xcostheta-Ysin theta` `=X cos theta 45^@-Ysin45^@=(X)/(sqrt2)+(Y)/(sqrt2)` `y=X sintheta+Ycostheta` `=X sintheta 45^@-Ycos45^@=(X)/(sqrt2)+(Y)/(sqrt2)` Hence, the equation `3x^2+2xy+3y^2=10` transforms to `3((X)/(sqrt2)-(Y)/(sqrt2))^2+2((X)/(sqrt2)-(Y)/(sqrt2))((X)/(sqrt2)+(Y)/(sqrt2))+3((X)/(sqrt2)+(Y)/(sqrt2))^2=10` or `2X^2+Y^2=5`
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