If sec alpha and "cosec" alpha are the ...

If ` sec alpha and "cosec" alpha` are the roots of `x^(2)- px+q=0` then show that `p^(2)=q(q+2)`

Topper's Solved these Questions

MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
METHOD OF SUBSTITUTION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
ORDER AND DEGREE OF DIFFERENTIAL EQUATION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If sec alpha and cosec alpha are the roots of x^2-px+q=0 then prove that p^2=q(q+2)

If secalpha and cosecalpha are two roots of x^2-px+q=0 then

If secalpha and cosecalpha are the roots of the equation x^2-px+q=0 , then

If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=q(q-2) (b) p^2=q(q+2) (c) p^2q^2=2q (d) none of these

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta -alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alphaandbeta be the roots of the quadratic equation px^(2)-qx+q=0 , then show that sqrt((alpha)/(beta))+sqrt((beta)/(alpha))-sqrt((q)/(p))=0 .

If p and q are the roots of the equation x^2+px+q =0, then

If alphaandbeta be the roots of the equation x^(2)-px+q=0 then, (alpha^(-1)+beta^(-1))=(p)/(q) .

If , p , q are the roots of the equation x^(2)+px+q=0 , then

If alpha, beta are the roots of the equation x^(2)-px+q=0 , prove that log_(e)(1+px+qx^(2))=(alpha+beta)x-(alpha^(2)+beta^(2))/(2)x^(2)+(alpha^(3)+beta^(3))/(3)x^(3)-...

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY

If 2 cos theta= a+(1)/(a) and 2 cos phi= b +(1)/(b), show that 2 cos (...
Text Solution
|
If angles alpha and beta satisfy the equation a cos theta+ b sin theta...
Text Solution
|
If sec alpha and "cosec" alpha are the roots of x^(2)- px+q=0 then sh...
Text Solution
|
If cot^(2) theta= cot (theta-alpha) cot( theta- beta), prove that cot...
Text Solution
|
If cos 2 A sin 2 B= cos 2 C sin 2D, prove that tan (C+A) tan (C-A) tan...
Text Solution
|
If sin(y+z-x), sin (z+x-y) and sin (x+y-z) are in A.P., show that tan ...
Text Solution
|
If cos beta cos (gamma- alpha)= cos (alpha- beta+ gamma), prove that c...
Text Solution
|
If tan^(2) alpha+ 2tan alpha tan 2 beta= tan^(2) beta+ 2 tan beta tan ...
Text Solution
|
If "cosec" 2A+ "cosec"2B+"cosec"2C=0, prove that tan A+ tan B+ tan C+ ...
Text Solution
|
Let f(x-1)=5x -3.then find f^-1(x)
Text Solution
|
If (tan (alpha- beta+ gamma))/(tan (alpha+ beta- gamma))=(tan beta)/( ...
Text Solution
|
If 0 lt alpha lt (pi)/(2), (pi)/(2) lt beta lt pi and cos alpha =(4)/(...
Text Solution
|
If alpha and beta be two roots of the equation a cos theta+ b sin thet...
Text Solution
|
If -360^(@) lt A lt -270^(@), show that "sin"(A)/(2)=- sqrt((1-cosA)/...
Text Solution
|
If 2 sin A= sqrt(1+ sin 2A)- sqrt(1-sin2A) then find the limits of val...
Text Solution
|
Prove that : tan 11^(@) 15' = sqrt(4+2sqrt(2))-sqrt(2)-1
Text Solution
|
In triangle ABC , if C is a right prove that (sin^(2)A)/(sin^(2)B)-(co...
Text Solution
|
Using the identity tan A =(sin 2A)/(1+cos2A) find the value of tan 15^...
Text Solution
|
Prove that the lengths of the chord of a circle which subtends an angl...
Text Solution
|
In any triangle ABC "if" (b+c)/(a)="cot"(A)/(2), prove that the triang...
Text Solution
|