If A and B are any two events, then $P(\bar{A} \cap B)$ is equal to

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Aayush Asked Jun 18

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If x, a, b and c are non-zero vectors such that a.x=0, b.x=0 and c.x=0, then [abc] is

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If vectors a, b and c are mutually perpendicular vectors such that |a|=|b|=10,|c|=1, then the length of vector 2a + 2b + 40c is

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Ankit Asked Sep 19, 2023

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Ankit Asked Sep 19, 2023

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Consider a relation R defined on set of square matrices A of order 2 satisfying $A^2=I$. If A, B are two such matrices then relation R is defined as $(A, B) \in R \Rightarrow(A B)^{\top}=A^{\top} B^{\top}$. Prove that relation R is reflexive and symmetric.

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ALOK_RAJ Asked Aug 3, 2023

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If A is the set of the divisors of the number 15, B is set of prime numbers smaller than 10 and C is the set of even numbers smaller than 9 , then $(A \cup C) \cap B$ is the set

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If $\alpha, \beta$ are the roots of the equation $a x^2+b x+c=0$, then $\frac{\alpha}{a \beta+b}+\frac{\beta}{a \alpha+b}$ is equal to

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If $x=\sqrt{1+\sqrt{1+\sqrt{1+\ldots \infty}}}$, then $x$ is equal to

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If the mean of n observations $1^2, 2^2, 3^2, \ldots, n^2$ is $\frac{46 n}{11}$, then n is equal to

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If the median of x/5, x, x/4, x/2 and x/3, where x>0, is 8 then the value of x is equal to

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If the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{b^2}=1$ and the hyperbola $\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is

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If $A\left(\cos \theta_{1}, \sin \theta_{1}\right) B\left(\cos \theta_{2}, \sin \theta_{2}\right) \& C\left(\cos \theta_{3}, \sin \theta_{3}\right)$, then orthocenter of $\triangle A B C$ is

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$\left|\begin{array}{lll}1 & a & a^2-b c \\ 1 & b & b^2-a c \\ 1 & c & c^2-a b\end{array}\right|$ is equal to

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A triangle is formed by joining three points A(8,2), B(-4,-4) and C(16,1) on rectangular hyperbola xy=16. If orthocentre of the triangle ABC is (h, k) then product hk is equal to

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If y is a function of x and $\log (x+y)=2 x y$, then the value of $y^{\prime}(0)$ is equal to

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If A and B are any two events, then $P(\bar{A} \cap B)$ is equal to

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