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Find perpendicular distance from the ori...

Find perpendicular distance from the origin to the line joining the points `(cos theta, sin theta)` and `(cos phi, sin phi)`.

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Find perpendicular distance of the line joining the points (cos theta, sin theta) and (cos phi, sin phi) from the origin.

Find the equation of the straight line joining the points (a cos theta_1 a sin theta_1) and (a cos theta_2, a sin theta_2) .

If p and q are the lengths of perpendicular from origin to the lines x cos theta-y sin theta=k cos 2 theta and x sec theta +y "cosec" theta =k respectively. Prove that p^(2)+4q^(2)=k^(2) .

If p and q are respectively the perpendiculars from the origin upon the striaght lines, whose equations are x sec theta + y cosec theta =a and x cos theta -y sin theta = a cos 2 theta , then 4p^(2) + q^(2) is equal to

Prove the following identity : (sin theta)/(1+cos theta)+ (sin theta)/(1-cos theta)= 2/(sin theta) .

Find sin 2 theta when sin theta + cos theta= 1 .

Find the adjoint of each of the following matrices: [(cos theta, sin theta),(-sin theta, cos theta)]

The length of the chord joining the points (4 cos theta 4 sin theta) and (4 cos (theta+60^@),4 sin (theta+60^@)) of the circle x^2+y^2=16 is :

Prove that : sin 2 theta= 2sin theta cos theta .

Find the maximum and minimum values of 7 cos theta+ 24 sin theta .

PSEB-STRAIGHT LINES-EXERCISE
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  11. Show that the equation of the line passing through the origin and maki...

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  12. In what ratio, the line joining (-1, 1) and (5, 7) is divided by the l...

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  14. Find the direction in which a straight line must be drawn through the ...

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  15. The hypotenuse of a right angled triangle has its ends at the points (...

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