Let a, b c $ \in $ R be such that a2 + b2 + c2 = 1. If $a\cos \theta = b\cos \left( {\theta + {{2\pi } \over 3}} \right) = c\cos \left( {\theta + {{4\pi } \over 3}} \right)$, where${\theta = {\pi \over 9}}$, then the angle between the vectors $a\widehat i + b\widehat j + c\widehat k$ and $b\widehat i + c\widehat j + a\widehat k$ is
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Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radi…
Topic: JEE Main 3 September 2020 (Evening)
Let R1 and R2 be two relation defined asfollows :R1 = {(a, b) $ \in $ R2 : a2 + b2 $ \in $ Q} andR2 = {(a, b) $ \in $ R…
Topic: JEE Main 3 September 2020 (Evening)
If the value of the integral $\int\limits_0^{{1 \over 2}} {{{{x^2}} \over {{{\left( {1 - {x^2}} \right)}^{{3 \over 2}}}…
Topic: JEE Main 3 September 2020 (Evening)
Let e1 and e2 be the eccentricities of theellipse, ${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$(b < 5) and t…
Topic: JEE Main 3 September 2020 (Evening)
The probability that a randomly chosen 5-digit number is made from exactly two digits is :
Topic: JEE Main 3 September 2020 (Evening)
If x3dy + xy dx = x2dy + 2y dx; y(2) = e and x > 1, then y(4) is equal to :
Topic: JEE Main 3 September 2020 (Evening)
$\mathop {\lim }\limits_{x \to a} {{{{\left( {a + 2x} \right)}^{{1 \over 3}}} - {{\left( {3x} \right)}^{{1 \over 3}}}} …
Topic: JEE Main 3 September 2020 (Evening)
If the surface area of a cube is increasing at a rate of 3.6 cm2/sec, retaining its shape; then the rate of change of i…
Topic: JEE Main 3 September 2020 (Evening)
If a $\Delta $ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :
Topic: JEE Main 3 September 2020 (Evening)
Let xi (1 $ \le $ i $ \le $ 10) be ten observations of arandom variable X. If $\sum\limits_{i = 1}^{10} {\left( {{x_i} …
Topic: JEE Main 3 September 2020 (Evening)
