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If the line segment joining the points A(a,b) and B(c,d) subtends an angle `theta` at the origin, then `costheta` is equal to

A

`(ac+bd)/(sqrt((a^(2)+b^(2))(c^(2)+d^(2))))`

B

`(ab+cd)/(sqrt((a^(2)+b^(2))(c^(2)+d^(2))))`

C

`(ad+bc)/(sqrt((a^(2)+b^(2))(c^(2)+d^(2))))`

D

None of these

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The correct Answer is:
A
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DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 1: CONCEPT BUILDER
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  4. The angle between y=x+6 and y=sqrt(3)x+y is

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  5. If p be the length of the perpendicular from the origin on the straigh...

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  6. The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) a...

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  7. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

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  8. If 2p is the length of perpendicular from the origin to the lines x/a+...

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  9. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

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  10. The distance of the point (1,2,3) form the coordinate axes are A,B and...

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  11. Find the tangent of the angel between the lines whose intercepts n the...

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  12. A straight line L through the point (3,-2) is inclined at an angle 60^...

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  13. Number of lines that can be drawn through the point (4,-5) so that its...

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  14. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

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  15. If p(1) and p(2) are the lengths of the perpendicular form the orgin t...

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  16. A point moves so that the distance between the feet ofperpendiculars d...

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  17. The range of value of alpha such that (0,alpha) lies on or inside the ...

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  18. If P is a point (x ,y) on the line y=-3x such that P and the point (3,...

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  19. If the line y l=sqrt(3)x cuts the curve x^2=y^2+3x y+5x^2+3y^2+4x+5y-1...

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  20. The equation of a straight line, which passes through the point (a,0) ...

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