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GATE Latest Exam Pattern - GATE Sample Question with Solutions Page 79

(#M40019930) GATE QUESTION TRIGONOMETRY Keep an EYE

if x=2Cosθ-Cos2θ and y=2Sinθ-Sin2θ prove that dy/dx=tan(3θ/2)

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(#M40019929) GATE QUESTION CONICS Keep an EYE

What is the sum of all angles of a quadrilateral

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(#M40019928) GATE QUESTION SET THEORY Keep an EYE

How we can find volume of a cube using pythagoras theorem .

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(#M40019927) GATE QUESTION PARTIAL FRACTIONS Keep an EYE

The ratio of the measure of an interior angle of a regular hexagon to the measure of each of its exterior angle is :

(A) 2:1

(B) 1:2

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(#M40019925) GATE QUESTION TRIGONOMETRY Keep an EYE

If (cosθ)^2 -(sinθ)^2=1/3, value of [(cosθ)^4-(sinθ)^4+1] is:
(A) 4/3
(B) 5/3

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(#M40019924) GATE QUESTION EQUATIONS AND INEQUALITIES Keep an EYE

A box of fruits can be loaded in a truck in 9 minutes by a worker, and 8 boxes fill a truck completely. How many trucks can be loaded completely in 1 ½ hours if there are 16 men working together?

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(#M40019923) GATE QUESTION COMPLEX NUMBERS Keep an EYE

The complex number z is such that:|z|=1,z is not equal to -1 and w=z-1/z+1. Then real part of w is:

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(#M40019922) GATE QUESTION DIFFERENTIAL EQUATIONS Keep an EYE

Solve: dy/dx =[x√(x^2-1) +y]/(√x^2-1)

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(#M40019921) GATE QUESTION TRIGONOMETRY Keep an EYE

If tan6θ=3/4 then find the value of 3/2cosec2θ+2sec2θ

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(#M40019920) GATE QUESTION PROBABILITY Keep an EYE

Mr &mrs smith have invited 9 of their friends & their spouses for a party at the waikki beach resort.they started for a group photograph.if Mr.smith never stands next to mrs smith(as he says they are always together otherwise).how many ways the group can be arranged in a row for the photograph?

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