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1.​ 67​×5=7​

2. a)

DRT 1

GRADE XII

Daily Revision Test -1

for the curve r = 1 + cosθ when is the tangent horizontal or c vertical

sol:

x=rcosθ→x=(1+cosθ)cosθy=rsinθ→y=(1+cosθ)sinθdθdy​=2cosθ2+cosθ−1dθdx​=−sinθ(2cosθ+1)dθdy​=0,dθdx​=0⟹2cosθ2+cosθ−1=0cosθ=u⟹2u2+u−1u=−1±√(1)2−4(2)(−1)​/2(2)u=−1±3/4⟹cosθ=21​,−1cosθ=−21​⟹32π​,34π​The tangent is horizontal at⟹3π​,π, 5π​The tangent is perpendicular to⟹32π​,π,34π​,2π​

Solve this problem.

Hint : the answer i​s just one digit

A={(23-12÷(66^5 ÷66)÷2)÷34^3÷6}+6 B=A+3 C=(A+B)÷2 D=1÷(C^AB) A+BCD=?

Question

Are you able to handle all 10 question?

Good luck

Class - 9th, Total Questions - 40, Time - 141​h, Total Marks - 50, Date - 28 April 2025

• वस्तुनिष्ठ प्रश्न (1-30)

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Basic identities of Algebra

( a + b )² = a² + 2ab + b²

( a - b )² = a² - 2ab + b²

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