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The line L has intercepts a and b on the...

The line L has intercepts a and b on the coordinate axes. When keeping the origin fixed, the coordinate axes are rotated through a fixed angle,then the same line has intercepts p and q on the rotated axes. Then

A

`a^(2)+b^(2)=p^(2)=q^(2)`

B

`1/(a^(2))+1/(b^(2))=1/(p^(2))+1/(q^(2))`

C

`a^(2)+p^(2)=b^(2)=q^(2)`

D

`1/(a^(2))+1/(p^(2))=1/(b^(2))+1/(q^(2))`

Text Solution

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The correct Answer is:
B
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
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  2. The line L given by x/5+y/b=1 passes through the point (13, 32). Th...

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  3. A variable line cuts the axes of co ordinates in points A and B such t...

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  4. Through the point (5,12) a straight line is drawn to meet the axes is ...

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  5. The line L has intercepts a and b on the coordinate axes. When keeping...

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  6. If the expression x^(2)+4xy+y^(2) transforms to Ax^(2)+By^(2) by rotat...

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  7. The point (4,1) undergoes the following three transformations successi...

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  8. The point (alpha^(2)+2lamda+5,lamda^(2)+1) lies on the line x+y=10 ...

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  9. The line P Q whose equation is x-y=2 cuts the x-axis at P ,a n dQ is (...

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  10. The vertices A and D of square A B C D lie on the positive sides of x-...

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  11. On the portion of the line x/3+y/4=1 intercepted between the axes a sq...

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  12. P is a point on either of the two lines y - sqrt3|x|=2 at a distance 5...

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  13. If the lie y=xsqrt(3) cuts the curve x^(3)+y^(3)+3xy+5x^(2)+3y^(2)+4x+...

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  14. If the axes are turned through an angle tan^(-1) 2 then the equation 4...

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  15. Consider the lines given by L1 = x + 3y – 5 = 0 L2 = 3x – ky –...

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  16. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

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  17. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

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  18. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

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  19. Shifting of origin (0,0) to (h,k) f(x,y)tof(x+h,y+k) Rotation of a...

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  20. BE and CF are two medians of DeltaABC whose vertex A is (1,3). The equ...

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