If x = a sec theta cos phi, y = b sec t...

If ` x = a sec theta cos phi, y = b sec thetasin phi and z = c tan theta`, then the value of `x^2/a^2 + y^2/b^2 -z^2 /c^2` is

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGONOMETRY
ARIHANT SSC|Exercise Higher Skill Level Questions|34 Videos
TRIGONOMETRY
ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 11.1|5 Videos
TRIGONOMETRY
ARIHANT SSC|Exercise EXERCISE(LEVEL - 1)|35 Videos
TIME, SPEED AND DISTANCE
ARIHANT SSC|Exercise SPEED TEST (TSD)|10 Videos
TRUE DISCOUNT AND BANKER'S DISCOUNT
ARIHANT SSC|Exercise FAST TRACK PRACTICE|23 Videos

Similar Questions

Explore conceptually related problems

If x = a sec theta cos phi, y = b sec theta sin phi, z = c tan theta , then, the value of x^2 /a^2 + y^2/b^2 -z^2/c^2 is :

Find the blanks. (i) If x=a cos^(3)theta,y=b sin^(3)theta then ((x)/(a))^(2/3)+((y)/(b))^(2/3)=ul(P) (ii) if x=a sec theta cos phi,y=b sec theta sin phi and z=c tan theta then (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=ul(Q) (iii) If cos A+cos^(2)A=1 ,then sin^(2)A+sin^(4)A=ul(R)

If x=a sec theta cos varphi,y=b sec theta sin varphi and z=c tan theta, then (x^(2))/(a^(2))+(y^(2))/(b^(2))=(z^(2))/(c^(2)) (b) 1-(z^(2))/(c^(2))(c)(z^(2))/(c^(2))-1(d)1+(z^(2))/(c^(2))

If x = rsin theta*cos phi , y = rsin theta*sin phi and z = rcos theta then prove that x^2 + y^2 + z^2 = r^2

If x=a sec theta cos varphi,quad y=b sec theta sin varphi and z=c tan theta, show that (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=1

if x = a sec theta + b tan theta y = b sec theta + a tan theta then x^(2) - y^(2) is equal to

If x = r cos theta cos phi, y = r cos theta sin phiz = r sin theta, then x ^ (2) + y ^ (2) + z ^ (2) = (i) r ^ (2) (ii ) y ^ (2) (iii) x ^ (2) (iv) z ^ (2)

If x sec theta , y = tan theta , then the value of (d^(2) y)/(dx^(2)) " at " theta = (pi)/(4) is

If =a(1+cos theta cos phi),y=b(1+cos theta sin phi) and z=c(1+sin theta) then which of the following is correct

If a+b tan theta=sec theta and b-a tan theta=3sec theta then find the value of a^(2)+b^(2)

ARIHANT SSC-TRIGONOMETRY-Exercise Base Level Questions

The value of (tan 27^@ + cot 63^@)/(tan 27^@ (sin25^@ + cos65^@))
Text Solution
|
If cos theta ge 1//2 in the first quadrant, which one of the following...
Text Solution
|
If x = a sec theta cos phi, y = b sec thetasin phi and z = c tan thet...
Text Solution
|
If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)thet...
Text Solution
|
If 7sin^2 theta + 3 cos^2 theta = 4, then the value of cos theta(0^@le...
Text Solution
|
If tan8 theta = cot 2 theta, where 0 lt 8 theta lt pi/2, then what is...
Text Solution
|
If sin theta - cos theta = 0, then what is sin^4 theta + cos^4 theta e...
Text Solution
|
The expression sin^2 x + cos^2 x -1 =0 is satisfied by how many values...
Text Solution
|
Consider the following I.(cot 30^@+1)/(cot30^@ -1) = 2 (cos300^@ +1...
Text Solution
|
What is sin A cos A tan A + cos A cot A equal to ?
Text Solution
|
2(cos^2theta-sin^2theta)=1 ( theta is a positive acute angle), then ...
Text Solution
|
The minimum value of cos^2 theta+ sec^2 theta is
Text Solution
|
If cos x + cos y =2, then the value of sinx + sin y is
Text Solution
|
if sec^(2)theta+tan^(@)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=
Text Solution
|
The numerical value of ((1)/(costheta)+(1)/(cot theta))((1)/(costhet...
Text Solution
|
यदि A=tan11^(@)tan29^(@),B=2cot61^(@)cot79^(@) है तो
Text Solution
|
If tan 2 theta.tan 4 theta =1, then the value of 3 theta is
Text Solution
|
If sin theta + cosec theta =2,then the value of sin^5theta cosec^5 the...
Text Solution
|
If A=sin^(2) theta + cos^(4) theta , then for all values of theta ,...
Text Solution
|
The minimum value of 2 sin^2 theta + 3cos^2 theta is
Text Solution
|